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Finding the Fourth Proportional to 315,427.20, 471,988.80 and 232,483.20

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Solution

The fourth proportional to 315,427.20, 471,988.80 and 232,483.20 is: 347,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,427.20 : 471,988.80 = 232,483.20 : x
  2. Step 2: Convert to fraction form
    315,427.20/471,988.80 = 232,483.20/x
  3. Step 3: Cross multiply
    315,427.20x = 471,988.80 × 232,483.20
  4. Step 4: Simplify right side
    315,427.20x = 109,729,466,588.16
  5. Step 5: Solve for x
    x = 109,729,466,588.16/315,427.20
  6. Step 6: Final answer
    x = 347,875.73

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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.