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Finding the Fourth Proportional to 716,451.68, 988,711.56 and 410,522

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Solution

The fourth proportional to 716,451.68, 988,711.56 and 410,522 is: 566,525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,451.68 : 988,711.56 = 410,522 : x
  2. Step 2: Convert to fraction form
    716,451.68/988,711.56 = 410,522/x
  3. Step 3: Cross multiply
    716,451.68x = 988,711.56 × 410,522
  4. Step 4: Simplify right side
    716,451.68x = 405,887,847,034.32
  5. Step 5: Solve for x
    x = 405,887,847,034.32/716,451.68
  6. Step 6: Final answer
    x = 566,525.08

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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.