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Finding the Fourth Proportional to 716,046.92, 988,068.10 and 414,184.52

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Solution

The fourth proportional to 716,046.92, 988,068.10 and 414,184.52 is: 571,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,046.92 : 988,068.10 = 414,184.52 : x
  2. Step 2: Convert to fraction form
    716,046.92/988,068.10 = 414,184.52/x
  3. Step 3: Cross multiply
    716,046.92x = 988,068.10 × 414,184.52
  4. Step 4: Simplify right side
    716,046.92x = 409,242,511,725.81
  5. Step 5: Solve for x
    x = 409,242,511,725.81/716,046.92
  6. Step 6: Final answer
    x = 571,530.30

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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.