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Finding the Fourth Proportional to 597,475.82, 896,587.34 and 242,489.80

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Solution

The fourth proportional to 597,475.82, 896,587.34 and 242,489.80 is: 363,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,475.82 : 896,587.34 = 242,489.80 : x
  2. Step 2: Convert to fraction form
    597,475.82/896,587.34 = 242,489.80/x
  3. Step 3: Cross multiply
    597,475.82x = 896,587.34 × 242,489.80
  4. Step 4: Simplify right side
    597,475.82x = 217,413,284,759.13
  5. Step 5: Solve for x
    x = 217,413,284,759.13/597,475.82
  6. Step 6: Final answer
    x = 363,886.33

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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.