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Finding the Fourth Proportional to 314,944.20, 471,264.30 and 232,000.20

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Solution

The fourth proportional to 314,944.20, 471,264.30 and 232,000.20 is: 347,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,944.20 : 471,264.30 = 232,000.20 : x
  2. Step 2: Convert to fraction form
    314,944.20/471,264.30 = 232,000.20/x
  3. Step 3: Cross multiply
    314,944.20x = 471,264.30 × 232,000.20
  4. Step 4: Simplify right side
    314,944.20x = 109,333,411,852.86
  5. Step 5: Solve for x
    x = 109,333,411,852.86/314,944.20
  6. Step 6: Final answer
    x = 347,151.69

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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.