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Finding the Fourth Proportional to 475,195.59, 655,769.93 and 284,254.10

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Solution

The fourth proportional to 475,195.59, 655,769.93 and 284,254.10 is: 392,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,195.59 : 655,769.93 = 284,254.10 : x
  2. Step 2: Convert to fraction form
    475,195.59/655,769.93 = 284,254.10/x
  3. Step 3: Cross multiply
    475,195.59x = 655,769.93 × 284,254.10
  4. Step 4: Simplify right side
    475,195.59x = 186,405,286,559.09
  5. Step 5: Solve for x
    x = 186,405,286,559.09/475,195.59
  6. Step 6: Final answer
    x = 392,270.66

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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.