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Finding the Fourth Proportional to 415,280, 623,024.04 and 119,792

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Solution

The fourth proportional to 415,280, 623,024.04 and 119,792 is: 179,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,280 : 623,024.04 = 119,792 : x
  2. Step 2: Convert to fraction form
    415,280/623,024.04 = 119,792/x
  3. Step 3: Cross multiply
    415,280x = 623,024.04 × 119,792
  4. Step 4: Simplify right side
    415,280x = 74,633,295,799.68
  5. Step 5: Solve for x
    x = 74,633,295,799.68/415,280
  6. Step 6: Final answer
    x = 179,718.01

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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.