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Finding the Fourth Proportional to 597,577.60, 896,876.70 and 242,846.20

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Solution

The fourth proportional to 597,577.60, 896,876.70 and 242,846.20 is: 364,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,577.60 : 896,876.70 = 242,846.20 : x
  2. Step 2: Convert to fraction form
    597,577.60/896,876.70 = 242,846.20/x
  3. Step 3: Cross multiply
    597,577.60x = 896,876.70 × 242,846.20
  4. Step 4: Simplify right side
    597,577.60x = 217,803,098,463.54
  5. Step 5: Solve for x
    x = 217,803,098,463.54/597,577.60
  6. Step 6: Final answer
    x = 364,476.68

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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.