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Finding the Fourth Proportional to 546,380.64, 754,002.06 and 304,666.08

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Solution

The fourth proportional to 546,380.64, 754,002.06 and 304,666.08 is: 420,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,380.64 : 754,002.06 = 304,666.08 : x
  2. Step 2: Convert to fraction form
    546,380.64/754,002.06 = 304,666.08/x
  3. Step 3: Cross multiply
    546,380.64x = 754,002.06 × 304,666.08
  4. Step 4: Simplify right side
    546,380.64x = 229,718,851,932.13
  5. Step 5: Solve for x
    x = 229,718,851,932.13/546,380.64
  6. Step 6: Final answer
    x = 420,437.39

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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.