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Finding the Fourth Proportional to 413,632.10, 570,790.37 and 232,351.67

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Solution

The fourth proportional to 413,632.10, 570,790.37 and 232,351.67 is: 320,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,632.10 : 570,790.37 = 232,351.67 : x
  2. Step 2: Convert to fraction form
    413,632.10/570,790.37 = 232,351.67/x
  3. Step 3: Cross multiply
    413,632.10x = 570,790.37 × 232,351.67
  4. Step 4: Simplify right side
    413,632.10x = 132,624,091,673.71
  5. Step 5: Solve for x
    x = 132,624,091,673.71/413,632.10
  6. Step 6: Final answer
    x = 320,632.98

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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.