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Finding the Fourth Proportional to 424,666.48, 586,394.28 and 282,063.15

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Solution

The fourth proportional to 424,666.48, 586,394.28 and 282,063.15 is: 389,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,666.48 : 586,394.28 = 282,063.15 : x
  2. Step 2: Convert to fraction form
    424,666.48/586,394.28 = 282,063.15/x
  3. Step 3: Cross multiply
    424,666.48x = 586,394.28 × 282,063.15
  4. Step 4: Simplify right side
    424,666.48x = 165,400,217,758.78
  5. Step 5: Solve for x
    x = 165,400,217,758.78/424,666.48
  6. Step 6: Final answer
    x = 389,482.63

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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.