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Finding the Fourth Proportional to 413,070.08, 619,669.98 and 176,414

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Solution

The fourth proportional to 413,070.08, 619,669.98 and 176,414 is: 264,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,070.08 : 619,669.98 = 176,414 : x
  2. Step 2: Convert to fraction form
    413,070.08/619,669.98 = 176,414/x
  3. Step 3: Cross multiply
    413,070.08x = 619,669.98 × 176,414
  4. Step 4: Simplify right side
    413,070.08x = 109,318,459,851.72
  5. Step 5: Solve for x
    x = 109,318,459,851.72/413,070.08
  6. Step 6: Final answer
    x = 264,648.70

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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.