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Finding the Fourth Proportional to 497,729.66, 686,925.24 and 282,902.01

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Solution

The fourth proportional to 497,729.66, 686,925.24 and 282,902.01 is: 390,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,729.66 : 686,925.24 = 282,902.01 : x
  2. Step 2: Convert to fraction form
    497,729.66/686,925.24 = 282,902.01/x
  3. Step 3: Cross multiply
    497,729.66x = 686,925.24 × 282,902.01
  4. Step 4: Simplify right side
    497,729.66x = 194,332,530,054.85
  5. Step 5: Solve for x
    x = 194,332,530,054.85/497,729.66
  6. Step 6: Final answer
    x = 390,437.91

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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.