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Finding the Fourth Proportional to 473,677.40, 710,904.90 and 458,125.40

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Solution

The fourth proportional to 473,677.40, 710,904.90 and 458,125.40 is: 687,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,677.40 : 710,904.90 = 458,125.40 : x
  2. Step 2: Convert to fraction form
    473,677.40/710,904.90 = 458,125.40/x
  3. Step 3: Cross multiply
    473,677.40x = 710,904.90 × 458,125.40
  4. Step 4: Simplify right side
    473,677.40x = 325,683,591,674.46
  5. Step 5: Solve for x
    x = 325,683,591,674.46/473,677.40
  6. Step 6: Final answer
    x = 687,564.13

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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.