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Finding the Fourth Proportional to 716,097.92, 988,138.56 and 414,235.52

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Solution

The fourth proportional to 716,097.92, 988,138.56 and 414,235.52 is: 571,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,097.92 : 988,138.56 = 414,235.52 : x
  2. Step 2: Convert to fraction form
    716,097.92/988,138.56 = 414,235.52/x
  3. Step 3: Cross multiply
    716,097.92x = 988,138.56 × 414,235.52
  4. Step 4: Simplify right side
    716,097.92x = 409,322,090,233.65
  5. Step 5: Solve for x
    x = 409,322,090,233.65/716,097.92
  6. Step 6: Final answer
    x = 571,600.72

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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.