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Finding the Fourth Proportional to 546,656.11, 754,390.34 and 301,651.76

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Solution

The fourth proportional to 546,656.11, 754,390.34 and 301,651.76 is: 416,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,656.11 : 754,390.34 = 301,651.76 : x
  2. Step 2: Convert to fraction form
    546,656.11/754,390.34 = 301,651.76/x
  3. Step 3: Cross multiply
    546,656.11x = 754,390.34 × 301,651.76
  4. Step 4: Simplify right side
    546,656.11x = 227,563,175,296.91
  5. Step 5: Solve for x
    x = 227,563,175,296.91/546,656.11
  6. Step 6: Final answer
    x = 416,282.14

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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.