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Finding the Fourth Proportional to 410,030.20, 615,045.30 and 232,883.20

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Solution

The fourth proportional to 410,030.20, 615,045.30 and 232,883.20 is: 349,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,030.20 : 615,045.30 = 232,883.20 : x
  2. Step 2: Convert to fraction form
    410,030.20/615,045.30 = 232,883.20/x
  3. Step 3: Cross multiply
    410,030.20x = 615,045.30 × 232,883.20
  4. Step 4: Simplify right side
    410,030.20x = 143,233,717,608.96
  5. Step 5: Solve for x
    x = 143,233,717,608.96/410,030.20
  6. Step 6: Final answer
    x = 349,324.80

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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.