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Finding the Fourth Proportional to 556,134.66, 767,505.17 and 314,419.52

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Solution

The fourth proportional to 556,134.66, 767,505.17 and 314,419.52 is: 433,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,134.66 : 767,505.17 = 314,419.52 : x
  2. Step 2: Convert to fraction form
    556,134.66/767,505.17 = 314,419.52/x
  3. Step 3: Cross multiply
    556,134.66x = 767,505.17 × 314,419.52
  4. Step 4: Simplify right side
    556,134.66x = 241,318,609,853.73
  5. Step 5: Solve for x
    x = 241,318,609,853.73/556,134.66
  6. Step 6: Final answer
    x = 433,921.18

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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.