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Finding the Fourth Proportional to 473,721.20, 710,862.16 and 174,412.16

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Solution

The fourth proportional to 473,721.20, 710,862.16 and 174,412.16 is: 261,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,721.20 : 710,862.16 = 174,412.16 : x
  2. Step 2: Convert to fraction form
    473,721.20/710,862.16 = 174,412.16/x
  3. Step 3: Cross multiply
    473,721.20x = 710,862.16 × 174,412.16
  4. Step 4: Simplify right side
    473,721.20x = 123,983,004,787.87
  5. Step 5: Solve for x
    x = 123,983,004,787.87/473,721.20
  6. Step 6: Final answer
    x = 261,721.46

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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.