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Finding the Fourth Proportional to 399,280, 550,943.76 and 229,482.40

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Solution

The fourth proportional to 399,280, 550,943.76 and 229,482.40 is: 316,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,280 : 550,943.76 = 229,482.40 : x
  2. Step 2: Convert to fraction form
    399,280/550,943.76 = 229,482.40/x
  3. Step 3: Cross multiply
    399,280x = 550,943.76 × 229,482.40
  4. Step 4: Simplify right side
    399,280x = 126,431,896,309.82
  5. Step 5: Solve for x
    x = 126,431,896,309.82/399,280
  6. Step 6: Final answer
    x = 316,649.71

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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.