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Finding the Fourth Proportional to 500,767.32, 750,626.10 and 185,022.84

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Solution

The fourth proportional to 500,767.32, 750,626.10 and 185,022.84 is: 277,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,767.32 : 750,626.10 = 185,022.84 : x
  2. Step 2: Convert to fraction form
    500,767.32/750,626.10 = 185,022.84/x
  3. Step 3: Cross multiply
    500,767.32x = 750,626.10 × 185,022.84
  4. Step 4: Simplify right side
    500,767.32x = 138,882,971,875.01
  5. Step 5: Solve for x
    x = 138,882,971,875.01/500,767.32
  6. Step 6: Final answer
    x = 277,340.33

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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.