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Finding the Fourth Proportional to 417,326.34, 575,911.06 and 226,339.88

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Solution

The fourth proportional to 417,326.34, 575,911.06 and 226,339.88 is: 312,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,326.34 : 575,911.06 = 226,339.88 : x
  2. Step 2: Convert to fraction form
    417,326.34/575,911.06 = 226,339.88/x
  3. Step 3: Cross multiply
    417,326.34x = 575,911.06 × 226,339.88
  4. Step 4: Simplify right side
    417,326.34x = 130,351,640,211.07
  5. Step 5: Solve for x
    x = 130,351,640,211.07/417,326.34
  6. Step 6: Final answer
    x = 312,349.42

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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.