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Finding the Fourth Proportional to 357,385.40, 535,463.70 and 232,662.20

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Solution

The fourth proportional to 357,385.40, 535,463.70 and 232,662.20 is: 348,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,385.40 : 535,463.70 = 232,662.20 : x
  2. Step 2: Convert to fraction form
    357,385.40/535,463.70 = 232,662.20/x
  3. Step 3: Cross multiply
    357,385.40x = 535,463.70 × 232,662.20
  4. Step 4: Simplify right side
    357,385.40x = 124,582,162,462.14
  5. Step 5: Solve for x
    x = 124,582,162,462.14/357,385.40
  6. Step 6: Final answer
    x = 348,593.32

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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.