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Finding the Fourth Proportional to 597,624.60, 896,947.20 and 242,893.20

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Solution

The fourth proportional to 597,624.60, 896,947.20 and 242,893.20 is: 364,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,624.60 : 896,947.20 = 242,893.20 : x
  2. Step 2: Convert to fraction form
    597,624.60/896,947.20 = 242,893.20/x
  3. Step 3: Cross multiply
    597,624.60x = 896,947.20 × 242,893.20
  4. Step 4: Simplify right side
    597,624.60x = 217,862,375,639.04
  5. Step 5: Solve for x
    x = 217,862,375,639.04/597,624.60
  6. Step 6: Final answer
    x = 364,547.20

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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.