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Finding the Fourth Proportional to 597,364.60, 896,557.20 and 242,633.20

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Solution

The fourth proportional to 597,364.60, 896,557.20 and 242,633.20 is: 364,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,364.60 : 896,557.20 = 242,633.20 : x
  2. Step 2: Convert to fraction form
    597,364.60/896,557.20 = 242,633.20/x
  3. Step 3: Cross multiply
    597,364.60x = 896,557.20 × 242,633.20
  4. Step 4: Simplify right side
    597,364.60x = 217,534,542,419.04
  5. Step 5: Solve for x
    x = 217,534,542,419.04/597,364.60
  6. Step 6: Final answer
    x = 364,157.07

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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.