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Finding the Fourth Proportional to 417,460.10, 576,095.15 and 226,473.47

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Solution

The fourth proportional to 417,460.10, 576,095.15 and 226,473.47 is: 312,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,460.10 : 576,095.15 = 226,473.47 : x
  2. Step 2: Convert to fraction form
    417,460.10/576,095.15 = 226,473.47/x
  3. Step 3: Cross multiply
    417,460.10x = 576,095.15 × 226,473.47
  4. Step 4: Simplify right side
    417,460.10x = 130,470,267,516.74
  5. Step 5: Solve for x
    x = 130,470,267,516.74/417,460.10
  6. Step 6: Final answer
    x = 312,533.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.