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Finding the Fourth Proportional to 292,767.40, 439,807.20 and 280,811.80

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Solution

The fourth proportional to 292,767.40, 439,807.20 and 280,811.80 is: 421,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,767.40 : 439,807.20 = 280,811.80 : x
  2. Step 2: Convert to fraction form
    292,767.40/439,807.20 = 280,811.80/x
  3. Step 3: Cross multiply
    292,767.40x = 439,807.20 × 280,811.80
  4. Step 4: Simplify right side
    292,767.40x = 123,503,051,484.96
  5. Step 5: Solve for x
    x = 123,503,051,484.96/292,767.40
  6. Step 6: Final answer
    x = 421,847.01

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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.