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Finding the Fourth Proportional to 473,111.70, 710,331.75 and 451,687.20

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Solution

The fourth proportional to 473,111.70, 710,331.75 and 451,687.20 is: 678,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,111.70 : 710,331.75 = 451,687.20 : x
  2. Step 2: Convert to fraction form
    473,111.70/710,331.75 = 451,687.20/x
  3. Step 3: Cross multiply
    473,111.70x = 710,331.75 × 451,687.20
  4. Step 4: Simplify right side
    473,111.70x = 320,847,759,228.60
  5. Step 5: Solve for x
    x = 320,847,759,228.60/473,111.70
  6. Step 6: Final answer
    x = 678,164.92

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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.