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Finding the Fourth Proportional to 716,460.68, 988,723.98 and 410,531

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Solution

The fourth proportional to 716,460.68, 988,723.98 and 410,531 is: 566,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,460.68 : 988,723.98 = 410,531 : x
  2. Step 2: Convert to fraction form
    716,460.68/988,723.98 = 410,531/x
  3. Step 3: Cross multiply
    716,460.68x = 988,723.98 × 410,531
  4. Step 4: Simplify right side
    716,460.68x = 405,901,844,233.38
  5. Step 5: Solve for x
    x = 405,901,844,233.38/716,460.68
  6. Step 6: Final answer
    x = 566,537.50

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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.