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Finding the Fourth Proportional to 597,808.60, 897,223.20 and 243,077.20

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Solution

The fourth proportional to 597,808.60, 897,223.20 and 243,077.20 is: 364,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,808.60 : 897,223.20 = 243,077.20 : x
  2. Step 2: Convert to fraction form
    597,808.60/897,223.20 = 243,077.20/x
  3. Step 3: Cross multiply
    597,808.60x = 897,223.20 × 243,077.20
  4. Step 4: Simplify right side
    597,808.60x = 218,094,503,231.04
  5. Step 5: Solve for x
    x = 218,094,503,231.04/597,808.60
  6. Step 6: Final answer
    x = 364,823.29

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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.