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Finding the Fourth Proportional to 417,152.88, 575,669.16 and 226,165.68

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Solution

The fourth proportional to 417,152.88, 575,669.16 and 226,165.68 is: 312,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,152.88 : 575,669.16 = 226,165.68 : x
  2. Step 2: Convert to fraction form
    417,152.88/575,669.16 = 226,165.68/x
  3. Step 3: Cross multiply
    417,152.88x = 575,669.16 × 226,165.68
  4. Step 4: Simplify right side
    417,152.88x = 130,196,607,026.43
  5. Step 5: Solve for x
    x = 130,196,607,026.43/417,152.88
  6. Step 6: Final answer
    x = 312,107.65

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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.