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Finding the Fourth Proportional to 457,650, 685,998.41 and 153,818.60

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Solution

The fourth proportional to 457,650, 685,998.41 and 153,818.60 is: 230,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,650 : 685,998.41 = 153,818.60 : x
  2. Step 2: Convert to fraction form
    457,650/685,998.41 = 153,818.60/x
  3. Step 3: Cross multiply
    457,650x = 685,998.41 × 153,818.60
  4. Step 4: Simplify right side
    457,650x = 105,519,310,829.34
  5. Step 5: Solve for x
    x = 105,519,310,829.34/457,650
  6. Step 6: Final answer
    x = 230,567.71

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1.5x scale

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.