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Finding the Fourth Proportional to 456,814.71, 685,267.70 and 157,255.65

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Solution

The fourth proportional to 456,814.71, 685,267.70 and 157,255.65 is: 235,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,814.71 : 685,267.70 = 157,255.65 : x
  2. Step 2: Convert to fraction form
    456,814.71/685,267.70 = 157,255.65/x
  3. Step 3: Cross multiply
    456,814.71x = 685,267.70 × 157,255.65
  4. Step 4: Simplify right side
    456,814.71x = 107,762,216,801.23
  5. Step 5: Solve for x
    x = 107,762,216,801.23/456,814.71
  6. Step 6: Final answer
    x = 235,899.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.