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Finding the Fourth Proportional to 413,597.26, 570,763.56 and 232,314.40

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Solution

The fourth proportional to 413,597.26, 570,763.56 and 232,314.40 is: 320,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,597.26 : 570,763.56 = 232,314.40 : x
  2. Step 2: Convert to fraction form
    413,597.26/570,763.56 = 232,314.40/x
  3. Step 3: Cross multiply
    413,597.26x = 570,763.56 × 232,314.40
  4. Step 4: Simplify right side
    413,597.26x = 132,596,593,983.26
  5. Step 5: Solve for x
    x = 132,596,593,983.26/413,597.26
  6. Step 6: Final answer
    x = 320,593.50

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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.