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Finding the Fourth Proportional to 546,491.56, 754,176.06 and 304,784.32

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Solution

The fourth proportional to 546,491.56, 754,176.06 and 304,784.32 is: 420,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,491.56 : 754,176.06 = 304,784.32 : x
  2. Step 2: Convert to fraction form
    546,491.56/754,176.06 = 304,784.32/x
  3. Step 3: Cross multiply
    546,491.56x = 754,176.06 × 304,784.32
  4. Step 4: Simplify right side
    546,491.56x = 229,861,037,607.38
  5. Step 5: Solve for x
    x = 229,861,037,607.38/546,491.56
  6. Step 6: Final answer
    x = 420,612.24

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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.