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Finding the Fourth Proportional to 416,567.88, 624,754.32 and 117,077.16

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Solution

The fourth proportional to 416,567.88, 624,754.32 and 117,077.16 is: 175,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,567.88 : 624,754.32 = 117,077.16 : x
  2. Step 2: Convert to fraction form
    416,567.88/624,754.32 = 117,077.16/x
  3. Step 3: Cross multiply
    416,567.88x = 624,754.32 × 117,077.16
  4. Step 4: Simplify right side
    416,567.88x = 73,144,461,483.33
  5. Step 5: Solve for x
    x = 73,144,461,483.33/416,567.88
  6. Step 6: Final answer
    x = 175,588.34

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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.