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Finding the Fourth Proportional to 546,913.61, 754,740.81 and 301,898.43

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Solution

The fourth proportional to 546,913.61, 754,740.81 and 301,898.43 is: 416,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,913.61 : 754,740.81 = 301,898.43 : x
  2. Step 2: Convert to fraction form
    546,913.61/754,740.81 = 301,898.43/x
  3. Step 3: Cross multiply
    546,913.61x = 754,740.81 × 301,898.43
  4. Step 4: Simplify right side
    546,913.61x = 227,855,067,482.78
  5. Step 5: Solve for x
    x = 227,855,067,482.78/546,913.61
  6. Step 6: Final answer
    x = 416,619.85

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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.