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Finding the Fourth Proportional to 714,864.90, 986,536.53 and 413,058.90

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Solution

The fourth proportional to 714,864.90, 986,536.53 and 413,058.90 is: 570,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,864.90 : 986,536.53 = 413,058.90 : x
  2. Step 2: Convert to fraction form
    714,864.90/986,536.53 = 413,058.90/x
  3. Step 3: Cross multiply
    714,864.90x = 986,536.53 × 413,058.90
  4. Step 4: Simplify right side
    714,864.90x = 407,497,693,891.62
  5. Step 5: Solve for x
    x = 407,497,693,891.62/714,864.90
  6. Step 6: Final answer
    x = 570,034.55

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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.