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Finding the Fourth Proportional to 409,030.20, 614,006.10 and 315,948.60

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Solution

The fourth proportional to 409,030.20, 614,006.10 and 315,948.60 is: 474,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,030.20 : 614,006.10 = 315,948.60 : x
  2. Step 2: Convert to fraction form
    409,030.20/614,006.10 = 315,948.60/x
  3. Step 3: Cross multiply
    409,030.20x = 614,006.10 × 315,948.60
  4. Step 4: Simplify right side
    409,030.20x = 193,994,367,686.46
  5. Step 5: Solve for x
    x = 193,994,367,686.46/409,030.20
  6. Step 6: Final answer
    x = 474,278.84

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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.