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Finding the Fourth Proportional to 473,092.80, 708,472.80 and 314,462.40

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Solution

The fourth proportional to 473,092.80, 708,472.80 and 314,462.40 is: 470,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,092.80 : 708,472.80 = 314,462.40 : x
  2. Step 2: Convert to fraction form
    473,092.80/708,472.80 = 314,462.40/x
  3. Step 3: Cross multiply
    473,092.80x = 708,472.80 × 314,462.40
  4. Step 4: Simplify right side
    473,092.80x = 222,788,057,022.72
  5. Step 5: Solve for x
    x = 222,788,057,022.72/473,092.80
  6. Step 6: Final answer
    x = 470,918.30

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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.