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Finding the Fourth Proportional to 412,007.40, 617,427.90 and 361,852.20

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Solution

The fourth proportional to 412,007.40, 617,427.90 and 361,852.20 is: 542,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,007.40 : 617,427.90 = 361,852.20 : x
  2. Step 2: Convert to fraction form
    412,007.40/617,427.90 = 361,852.20/x
  3. Step 3: Cross multiply
    412,007.40x = 617,427.90 × 361,852.20
  4. Step 4: Simplify right side
    412,007.40x = 223,417,643,956.38
  5. Step 5: Solve for x
    x = 223,417,643,956.38/412,007.40
  6. Step 6: Final answer
    x = 542,266.10

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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.