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Finding the Fourth Proportional to 460,254.29, 635,022.59 and 296,841.65

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Solution

The fourth proportional to 460,254.29, 635,022.59 and 296,841.65 is: 409,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,254.29 : 635,022.59 = 296,841.65 : x
  2. Step 2: Convert to fraction form
    460,254.29/635,022.59 = 296,841.65/x
  3. Step 3: Cross multiply
    460,254.29x = 635,022.59 × 296,841.65
  4. Step 4: Simplify right side
    460,254.29x = 188,501,148,743.55
  5. Step 5: Solve for x
    x = 188,501,148,743.55/460,254.29
  6. Step 6: Final answer
    x = 409,558.70

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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.