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Finding the Fourth Proportional to 413,443.37, 570,610.85 and 232,167.65

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Solution

The fourth proportional to 413,443.37, 570,610.85 and 232,167.65 is: 320,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,443.37 : 570,610.85 = 232,167.65 : x
  2. Step 2: Convert to fraction form
    413,443.37/570,610.85 = 232,167.65/x
  3. Step 3: Cross multiply
    413,443.37x = 570,610.85 × 232,167.65
  4. Step 4: Simplify right side
    413,443.37x = 132,477,376,095.11
  5. Step 5: Solve for x
    x = 132,477,376,095.11/413,443.37
  6. Step 6: Final answer
    x = 320,424.48

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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.