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Finding the Fourth Proportional to 461,000.71, 691,106.64 and 176,895.13

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Solution

The fourth proportional to 461,000.71, 691,106.64 and 176,895.13 is: 265,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,000.71 : 691,106.64 = 176,895.13 : x
  2. Step 2: Convert to fraction form
    461,000.71/691,106.64 = 176,895.13/x
  3. Step 3: Cross multiply
    461,000.71x = 691,106.64 × 176,895.13
  4. Step 4: Simplify right side
    461,000.71x = 122,253,401,357.29
  5. Step 5: Solve for x
    x = 122,253,401,357.29/461,000.71
  6. Step 6: Final answer
    x = 265,191.35

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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.