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Finding the Fourth Proportional to 497,309.61, 745,963.74 and 230,924.46

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Solution

The fourth proportional to 497,309.61, 745,963.74 and 230,924.46 is: 346,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,309.61 : 745,963.74 = 230,924.46 : x
  2. Step 2: Convert to fraction form
    497,309.61/745,963.74 = 230,924.46/x
  3. Step 3: Cross multiply
    497,309.61x = 745,963.74 × 230,924.46
  4. Step 4: Simplify right side
    497,309.61x = 172,261,273,839.08
  5. Step 5: Solve for x
    x = 172,261,273,839.08/497,309.61
  6. Step 6: Final answer
    x = 346,386.38

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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.