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Finding the Fourth Proportional to 469,921.48, 648,337.22 and 265,952.14

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Solution

The fourth proportional to 469,921.48, 648,337.22 and 265,952.14 is: 366,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,921.48 : 648,337.22 = 265,952.14 : x
  2. Step 2: Convert to fraction form
    469,921.48/648,337.22 = 265,952.14/x
  3. Step 3: Cross multiply
    469,921.48x = 648,337.22 × 265,952.14
  4. Step 4: Simplify right side
    469,921.48x = 172,426,671,100.65
  5. Step 5: Solve for x
    x = 172,426,671,100.65/469,921.48
  6. Step 6: Final answer
    x = 366,926.56

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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.