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Finding the Fourth Proportional to 417,371.31, 575,973.41 and 226,384.70

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Solution

The fourth proportional to 417,371.31, 575,973.41 and 226,384.70 is: 312,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,371.31 : 575,973.41 = 226,384.70 : x
  2. Step 2: Convert to fraction form
    417,371.31/575,973.41 = 226,384.70/x
  3. Step 3: Cross multiply
    417,371.31x = 575,973.41 × 226,384.70
  4. Step 4: Simplify right side
    417,371.31x = 130,391,563,619.04
  5. Step 5: Solve for x
    x = 130,391,563,619.04/417,371.31
  6. Step 6: Final answer
    x = 312,411.42

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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.