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Finding the Fourth Proportional to 349,218.60, 523,827.90 and 242,930.40

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Solution

The fourth proportional to 349,218.60, 523,827.90 and 242,930.40 is: 364,395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,218.60 : 523,827.90 = 242,930.40 : x
  2. Step 2: Convert to fraction form
    349,218.60/523,827.90 = 242,930.40/x
  3. Step 3: Cross multiply
    349,218.60x = 523,827.90 × 242,930.40
  4. Step 4: Simplify right side
    349,218.60x = 127,253,721,278.16
  5. Step 5: Solve for x
    x = 127,253,721,278.16/349,218.60
  6. Step 6: Final answer
    x = 364,395.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.