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Finding the Fourth Proportional to 463,780.61, 698,829.95 and 381,386.33

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Solution

The fourth proportional to 463,780.61, 698,829.95 and 381,386.33 is: 574,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,780.61 : 698,829.95 = 381,386.33 : x
  2. Step 2: Convert to fraction form
    463,780.61/698,829.95 = 381,386.33/x
  3. Step 3: Cross multiply
    463,780.61x = 698,829.95 × 381,386.33
  4. Step 4: Simplify right side
    463,780.61x = 266,524,189,924.58
  5. Step 5: Solve for x
    x = 266,524,189,924.58/463,780.61
  6. Step 6: Final answer
    x = 574,677.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.