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Finding the Fourth Proportional to 714,540.96, 985,864.56 and 460,039.52

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Solution

The fourth proportional to 714,540.96, 985,864.56 and 460,039.52 is: 634,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,540.96 : 985,864.56 = 460,039.52 : x
  2. Step 2: Convert to fraction form
    714,540.96/985,864.56 = 460,039.52/x
  3. Step 3: Cross multiply
    714,540.96x = 985,864.56 × 460,039.52
  4. Step 4: Simplify right side
    714,540.96x = 453,536,658,967.41
  5. Step 5: Solve for x
    x = 453,536,658,967.41/714,540.96
  6. Step 6: Final answer
    x = 634,724.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.