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Finding the Fourth Proportional to 342,897.84, 514,159.27 and 272,274.14

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Solution

The fourth proportional to 342,897.84, 514,159.27 and 272,274.14 is: 408,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,897.84 : 514,159.27 = 272,274.14 : x
  2. Step 2: Convert to fraction form
    342,897.84/514,159.27 = 272,274.14/x
  3. Step 3: Cross multiply
    342,897.84x = 514,159.27 × 272,274.14
  4. Step 4: Simplify right side
    342,897.84x = 139,992,273,062.28
  5. Step 5: Solve for x
    x = 139,992,273,062.28/342,897.84
  6. Step 6: Final answer
    x = 408,262.34

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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.