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Finding the Fourth Proportional to 301,871,533.58, 416,584,127.04 and 171,498,495.50

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Solution

The fourth proportional to 301,871,533.58, 416,584,127.04 and 171,498,495.50 is: 236,668,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,871,533.58 : 416,584,127.04 = 171,498,495.50 : x
  2. Step 2: Convert to fraction form
    301,871,533.58/416,584,127.04 = 171,498,495.50/x
  3. Step 3: Cross multiply
    301,871,533.58x = 416,584,127.04 × 171,498,495.50
  4. Step 4: Simplify right side
    301,871,533.58x = 71,443,551,036,540,872
  5. Step 5: Solve for x
    x = 71,443,551,036,540,872/301,871,533.58
  6. Step 6: Final answer
    x = 236,668,725.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.