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Finding the Fourth Proportional to 540,046.63, 745,292.10 and 298,327.24

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Solution

The fourth proportional to 540,046.63, 745,292.10 and 298,327.24 is: 411,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,046.63 : 745,292.10 = 298,327.24 : x
  2. Step 2: Convert to fraction form
    540,046.63/745,292.10 = 298,327.24/x
  3. Step 3: Cross multiply
    540,046.63x = 745,292.10 × 298,327.24
  4. Step 4: Simplify right side
    540,046.63x = 222,340,935,186.80
  5. Step 5: Solve for x
    x = 222,340,935,186.80/540,046.63
  6. Step 6: Final answer
    x = 411,706.92

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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.