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Finding the Fourth Proportional to 509,203.24, 702,680.82 and 282,863.08

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Solution

The fourth proportional to 509,203.24, 702,680.82 and 282,863.08 is: 390,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,203.24 : 702,680.82 = 282,863.08 : x
  2. Step 2: Convert to fraction form
    509,203.24/702,680.82 = 282,863.08/x
  3. Step 3: Cross multiply
    509,203.24x = 702,680.82 × 282,863.08
  4. Step 4: Simplify right side
    509,203.24x = 198,762,461,002.13
  5. Step 5: Solve for x
    x = 198,762,461,002.13/509,203.24
  6. Step 6: Final answer
    x = 390,340.13

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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.