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Finding the Fourth Proportional to 460,848.71, 691,123.63 and 176,524.13

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Solution

The fourth proportional to 460,848.71, 691,123.63 and 176,524.13 is: 264,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,848.71 : 691,123.63 = 176,524.13 : x
  2. Step 2: Convert to fraction form
    460,848.71/691,123.63 = 176,524.13/x
  3. Step 3: Cross multiply
    460,848.71x = 691,123.63 × 176,524.13
  4. Step 4: Simplify right side
    460,848.71x = 121,999,997,508.19
  5. Step 5: Solve for x
    x = 121,999,997,508.19/460,848.71
  6. Step 6: Final answer
    x = 264,728.96

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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.