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Finding the Fourth Proportional to 449,897.86, 674,510.64 and 272,362.06

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Solution

The fourth proportional to 449,897.86, 674,510.64 and 272,362.06 is: 408,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,897.86 : 674,510.64 = 272,362.06 : x
  2. Step 2: Convert to fraction form
    449,897.86/674,510.64 = 272,362.06/x
  3. Step 3: Cross multiply
    449,897.86x = 674,510.64 × 272,362.06
  4. Step 4: Simplify right side
    449,897.86x = 183,711,107,402.32
  5. Step 5: Solve for x
    x = 183,711,107,402.32/449,897.86
  6. Step 6: Final answer
    x = 408,339.59

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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.