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Finding the Fourth Proportional to 693,307, 1,039,828.98 and 337,963.64

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Solution

The fourth proportional to 693,307, 1,039,828.98 and 337,963.64 is: 506,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,307 : 1,039,828.98 = 337,963.64 : x
  2. Step 2: Convert to fraction form
    693,307/1,039,828.98 = 337,963.64/x
  3. Step 3: Cross multiply
    693,307x = 1,039,828.98 × 337,963.64
  4. Step 4: Simplify right side
    693,307x = 351,424,387,058.29
  5. Step 5: Solve for x
    x = 351,424,387,058.29/693,307
  6. Step 6: Final answer
    x = 506,881.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.