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Finding the Fourth Proportional to 413,750.19, 570,992.90 and 232,462.47

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Solution

The fourth proportional to 413,750.19, 570,992.90 and 232,462.47 is: 320,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,750.19 : 570,992.90 = 232,462.47 : x
  2. Step 2: Convert to fraction form
    413,750.19/570,992.90 = 232,462.47/x
  3. Step 3: Cross multiply
    413,750.19x = 570,992.90 × 232,462.47
  4. Step 4: Simplify right side
    413,750.19x = 132,734,419,886.46
  5. Step 5: Solve for x
    x = 132,734,419,886.46/413,750.19
  6. Step 6: Final answer
    x = 320,808.12

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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.