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Finding the Fourth Proportional to 497,192.88, 745,121.88 and 272,213.76

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Solution

The fourth proportional to 497,192.88, 745,121.88 and 272,213.76 is: 407,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,192.88 : 745,121.88 = 272,213.76 : x
  2. Step 2: Convert to fraction form
    497,192.88/745,121.88 = 272,213.76/x
  3. Step 3: Cross multiply
    497,192.88x = 745,121.88 × 272,213.76
  4. Step 4: Simplify right side
    497,192.88x = 202,832,428,613.07
  5. Step 5: Solve for x
    x = 202,832,428,613.07/497,192.88
  6. Step 6: Final answer
    x = 407,955.22

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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.