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Finding the Fourth Proportional to 473,112.70, 710,333.25 and 451,688.20

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Solution

The fourth proportional to 473,112.70, 710,333.25 and 451,688.20 is: 678,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,112.70 : 710,333.25 = 451,688.20 : x
  2. Step 2: Convert to fraction form
    473,112.70/710,333.25 = 451,688.20/x
  3. Step 3: Cross multiply
    473,112.70x = 710,333.25 × 451,688.20
  4. Step 4: Simplify right side
    473,112.70x = 320,849,147,092.65
  5. Step 5: Solve for x
    x = 320,849,147,092.65/473,112.70
  6. Step 6: Final answer
    x = 678,166.42

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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.