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Finding the Fourth Proportional to 473,675.40, 710,901.90 and 458,123.40

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Solution

The fourth proportional to 473,675.40, 710,901.90 and 458,123.40 is: 687,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,675.40 : 710,901.90 = 458,123.40 : x
  2. Step 2: Convert to fraction form
    473,675.40/710,901.90 = 458,123.40/x
  3. Step 3: Cross multiply
    473,675.40x = 710,901.90 × 458,123.40
  4. Step 4: Simplify right side
    473,675.40x = 325,680,795,494.46
  5. Step 5: Solve for x
    x = 325,680,795,494.46/473,675.40
  6. Step 6: Final answer
    x = 687,561.13

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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.