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Finding the Fourth Proportional to 417,042.47, 575,518.06 and 226,055.81

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Solution

The fourth proportional to 417,042.47, 575,518.06 and 226,055.81 is: 311,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,042.47 : 575,518.06 = 226,055.81 : x
  2. Step 2: Convert to fraction form
    417,042.47/575,518.06 = 226,055.81/x
  3. Step 3: Cross multiply
    417,042.47x = 575,518.06 × 226,055.81
  4. Step 4: Simplify right side
    417,042.47x = 130,099,202,944.29
  5. Step 5: Solve for x
    x = 130,099,202,944.29/417,042.47
  6. Step 6: Final answer
    x = 311,956.72

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1.5x scale

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.