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Finding the Fourth Proportional to 413,346.04, 570,378.12 and 232,016.41

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Solution

The fourth proportional to 413,346.04, 570,378.12 and 232,016.41 is: 320,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,346.04 : 570,378.12 = 232,016.41 : x
  2. Step 2: Convert to fraction form
    413,346.04/570,378.12 = 232,016.41/x
  3. Step 3: Cross multiply
    413,346.04x = 570,378.12 × 232,016.41
  4. Step 4: Simplify right side
    413,346.04x = 132,337,083,744.95
  5. Step 5: Solve for x
    x = 132,337,083,744.95/413,346.04
  6. Step 6: Final answer
    x = 320,160.52

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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.