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Finding the Fourth Proportional to 468,298.27, 646,252.76 and 253,440.71

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Solution

The fourth proportional to 468,298.27, 646,252.76 and 253,440.71 is: 349,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,298.27 : 646,252.76 = 253,440.71 : x
  2. Step 2: Convert to fraction form
    468,298.27/646,252.76 = 253,440.71/x
  3. Step 3: Cross multiply
    468,298.27x = 646,252.76 × 253,440.71
  4. Step 4: Simplify right side
    468,298.27x = 163,786,758,159.65
  5. Step 5: Solve for x
    x = 163,786,758,159.65/468,298.27
  6. Step 6: Final answer
    x = 349,748.80

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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.