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Finding the Fourth Proportional to 412,402.47, 569,106.11 and 240,309.68

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Solution

The fourth proportional to 412,402.47, 569,106.11 and 240,309.68 is: 331,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,402.47 : 569,106.11 = 240,309.68 : x
  2. Step 2: Convert to fraction form
    412,402.47/569,106.11 = 240,309.68/x
  3. Step 3: Cross multiply
    412,402.47x = 569,106.11 × 240,309.68
  4. Step 4: Simplify right side
    412,402.47x = 136,761,703,133.07
  5. Step 5: Solve for x
    x = 136,761,703,133.07/412,402.47
  6. Step 6: Final answer
    x = 331,621.93

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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.