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Finding the Fourth Proportional to 473,044.80, 708,400.80 and 314,414.40

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Solution

The fourth proportional to 473,044.80, 708,400.80 and 314,414.40 is: 470,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,044.80 : 708,400.80 = 314,414.40 : x
  2. Step 2: Convert to fraction form
    473,044.80/708,400.80 = 314,414.40/x
  3. Step 3: Cross multiply
    473,044.80x = 708,400.80 × 314,414.40
  4. Step 4: Simplify right side
    473,044.80x = 222,731,412,491.52
  5. Step 5: Solve for x
    x = 222,731,412,491.52/473,044.80
  6. Step 6: Final answer
    x = 470,846.34

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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.