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Finding the Fourth Proportional to 506,058.88, 697,796.16 and 413,891.20

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Solution

The fourth proportional to 506,058.88, 697,796.16 and 413,891.20 is: 570,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,058.88 : 697,796.16 = 413,891.20 : x
  2. Step 2: Convert to fraction form
    506,058.88/697,796.16 = 413,891.20/x
  3. Step 3: Cross multiply
    506,058.88x = 697,796.16 × 413,891.20
  4. Step 4: Simplify right side
    506,058.88x = 288,811,690,017.79
  5. Step 5: Solve for x
    x = 288,811,690,017.79/506,058.88
  6. Step 6: Final answer
    x = 570,707.68

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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.