Home / 509,204.24-702,682.20-282,864.08

Finding the Fourth Proportional to 509,204.24, 702,682.20 and 282,864.08

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Solution

The fourth proportional to 509,204.24, 702,682.20 and 282,864.08 is: 390,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,204.24 : 702,682.20 = 282,864.08 : x
  2. Step 2: Convert to fraction form
    509,204.24/702,682.20 = 282,864.08/x
  3. Step 3: Cross multiply
    509,204.24x = 702,682.20 × 282,864.08
  4. Step 4: Simplify right side
    509,204.24x = 198,763,554,035.38
  5. Step 5: Solve for x
    x = 198,763,554,035.38/509,204.24
  6. Step 6: Final answer
    x = 390,341.51

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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.