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Finding the Fourth Proportional to 469,873.62, 648,426.06 and 255,013.74

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Solution

The fourth proportional to 469,873.62, 648,426.06 and 255,013.74 is: 351,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,873.62 : 648,426.06 = 255,013.74 : x
  2. Step 2: Convert to fraction form
    469,873.62/648,426.06 = 255,013.74/x
  3. Step 3: Cross multiply
    469,873.62x = 648,426.06 × 255,013.74
  4. Step 4: Simplify right side
    469,873.62x = 165,357,554,674.06
  5. Step 5: Solve for x
    x = 165,357,554,674.06/469,873.62
  6. Step 6: Final answer
    x = 351,919.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.