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Finding the Fourth Proportional to 460,612.64, 690,445.42 and 176,236.43

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Solution

The fourth proportional to 460,612.64, 690,445.42 and 176,236.43 is: 264,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,612.64 : 690,445.42 = 176,236.43 : x
  2. Step 2: Convert to fraction form
    460,612.64/690,445.42 = 176,236.43/x
  3. Step 3: Cross multiply
    460,612.64x = 690,445.42 × 176,236.43
  4. Step 4: Simplify right side
    460,612.64x = 121,681,632,037.83
  5. Step 5: Solve for x
    x = 121,681,632,037.83/460,612.64
  6. Step 6: Final answer
    x = 264,173.45

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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.