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Finding the Fourth Proportional to 417,309.98, 575,888.43 and 226,323.52

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Solution

The fourth proportional to 417,309.98, 575,888.43 and 226,323.52 is: 312,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,309.98 : 575,888.43 = 226,323.52 : x
  2. Step 2: Convert to fraction form
    417,309.98/575,888.43 = 226,323.52/x
  3. Step 3: Cross multiply
    417,309.98x = 575,888.43 × 226,323.52
  4. Step 4: Simplify right side
    417,309.98x = 130,337,096,013.87
  5. Step 5: Solve for x
    x = 130,337,096,013.87/417,309.98
  6. Step 6: Final answer
    x = 312,326.82

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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.