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Finding the Fourth Proportional to 538,281.52, 807,580.18 and 159,212.25

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Solution

The fourth proportional to 538,281.52, 807,580.18 and 159,212.25 is: 238,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,281.52 : 807,580.18 = 159,212.25 : x
  2. Step 2: Convert to fraction form
    538,281.52/807,580.18 = 159,212.25/x
  3. Step 3: Cross multiply
    538,281.52x = 807,580.18 × 159,212.25
  4. Step 4: Simplify right side
    538,281.52x = 128,576,657,115.17
  5. Step 5: Solve for x
    x = 128,576,657,115.17/538,281.52
  6. Step 6: Final answer
    x = 238,865.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.