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Finding the Fourth Proportional to 417,419.65, 576,039.30 and 236,127.74

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Solution

The fourth proportional to 417,419.65, 576,039.30 and 236,127.74 is: 325,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,419.65 : 576,039.30 = 236,127.74 : x
  2. Step 2: Convert to fraction form
    417,419.65/576,039.30 = 236,127.74/x
  3. Step 3: Cross multiply
    417,419.65x = 576,039.30 × 236,127.74
  4. Step 4: Simplify right side
    417,419.65x = 136,018,858,060.18
  5. Step 5: Solve for x
    x = 136,018,858,060.18/417,419.65
  6. Step 6: Final answer
    x = 325,856.39

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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.