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Finding the Fourth Proportional to 243,287.90, 364,931.85 and 176,414.30

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Solution

The fourth proportional to 243,287.90, 364,931.85 and 176,414.30 is: 264,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,287.90 : 364,931.85 = 176,414.30 : x
  2. Step 2: Convert to fraction form
    243,287.90/364,931.85 = 176,414.30/x
  3. Step 3: Cross multiply
    243,287.90x = 364,931.85 × 176,414.30
  4. Step 4: Simplify right side
    243,287.90x = 64,379,196,865.46
  5. Step 5: Solve for x
    x = 64,379,196,865.46/243,287.90
  6. Step 6: Final answer
    x = 264,621.45

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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.