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Finding the Fourth Proportional to 402,762.28, 604,406.22 and 150,244.78

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Solution

The fourth proportional to 402,762.28, 604,406.22 and 150,244.78 is: 225,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,762.28 : 604,406.22 = 150,244.78 : x
  2. Step 2: Convert to fraction form
    402,762.28/604,406.22 = 150,244.78/x
  3. Step 3: Cross multiply
    402,762.28x = 604,406.22 × 150,244.78
  4. Step 4: Simplify right side
    402,762.28x = 90,808,879,554.53
  5. Step 5: Solve for x
    x = 90,808,879,554.53/402,762.28
  6. Step 6: Final answer
    x = 225,465.20

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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.