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Finding the Fourth Proportional to 417,718.15, 576,453.98 and 226,731.51

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Solution

The fourth proportional to 417,718.15, 576,453.98 and 226,731.51 is: 312,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,718.15 : 576,453.98 = 226,731.51 : x
  2. Step 2: Convert to fraction form
    417,718.15/576,453.98 = 226,731.51/x
  3. Step 3: Cross multiply
    417,718.15x = 576,453.98 × 226,731.51
  4. Step 4: Simplify right side
    417,718.15x = 130,700,281,897.74
  5. Step 5: Solve for x
    x = 130,700,281,897.74/417,718.15
  6. Step 6: Final answer
    x = 312,891.08

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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.