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Finding the Fourth Proportional to 716,429.86, 988,814.54 and 410,711.54

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Solution

The fourth proportional to 716,429.86, 988,814.54 and 410,711.54 is: 566,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,429.86 : 988,814.54 = 410,711.54 : x
  2. Step 2: Convert to fraction form
    716,429.86/988,814.54 = 410,711.54/x
  3. Step 3: Cross multiply
    716,429.86x = 988,814.54 × 410,711.54
  4. Step 4: Simplify right side
    716,429.86x = 406,117,542,497.79
  5. Step 5: Solve for x
    x = 406,117,542,497.79/716,429.86
  6. Step 6: Final answer
    x = 566,862.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.