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Finding the Fourth Proportional to 460,842.61, 691,114.42 and 176,518.03

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Solution

The fourth proportional to 460,842.61, 691,114.42 and 176,518.03 is: 264,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,842.61 : 691,114.42 = 176,518.03 : x
  2. Step 2: Convert to fraction form
    460,842.61/691,114.42 = 176,518.03/x
  3. Step 3: Cross multiply
    460,842.61x = 691,114.42 × 176,518.03
  4. Step 4: Simplify right side
    460,842.61x = 121,994,153,753.91
  5. Step 5: Solve for x
    x = 121,994,153,753.91/460,842.61
  6. Step 6: Final answer
    x = 264,719.78

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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.