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Finding the Fourth Proportional to 413,450.11, 570,521.45 and 232,120.48

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Solution

The fourth proportional to 413,450.11, 570,521.45 and 232,120.48 is: 320,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,450.11 : 570,521.45 = 232,120.48 : x
  2. Step 2: Convert to fraction form
    413,450.11/570,521.45 = 232,120.48/x
  3. Step 3: Cross multiply
    413,450.11x = 570,521.45 × 232,120.48
  4. Step 4: Simplify right side
    413,450.11x = 132,429,710,790.59
  5. Step 5: Solve for x
    x = 132,429,710,790.59/413,450.11
  6. Step 6: Final answer
    x = 320,303.96

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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.