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Finding the Fourth Proportional to 413,151.32, 619,989.12 and 176,495.72

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Solution

The fourth proportional to 413,151.32, 619,989.12 and 176,495.72 is: 264,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,151.32 : 619,989.12 = 176,495.72 : x
  2. Step 2: Convert to fraction form
    413,151.32/619,989.12 = 176,495.72/x
  3. Step 3: Cross multiply
    413,151.32x = 619,989.12 × 176,495.72
  4. Step 4: Simplify right side
    413,151.32x = 109,425,426,126.57
  5. Step 5: Solve for x
    x = 109,425,426,126.57/413,151.32
  6. Step 6: Final answer
    x = 264,855.56

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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.