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Finding the Fourth Proportional to 417,152.36, 575,671.50 and 226,165.83

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Solution

The fourth proportional to 417,152.36, 575,671.50 and 226,165.83 is: 312,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,152.36 : 575,671.50 = 226,165.83 : x
  2. Step 2: Convert to fraction form
    417,152.36/575,671.50 = 226,165.83/x
  3. Step 3: Cross multiply
    417,152.36x = 575,671.50 × 226,165.83
  4. Step 4: Simplify right side
    417,152.36x = 130,197,222,604.85
  5. Step 5: Solve for x
    x = 130,197,222,604.85/417,152.36
  6. Step 6: Final answer
    x = 312,109.52

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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.