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Finding the Fourth Proportional to 457,114.40, 630,810.96 and 255,917.60

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Solution

The fourth proportional to 457,114.40, 630,810.96 and 255,917.60 is: 353,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,114.40 : 630,810.96 = 255,917.60 : x
  2. Step 2: Convert to fraction form
    457,114.40/630,810.96 = 255,917.60/x
  3. Step 3: Cross multiply
    457,114.40x = 630,810.96 × 255,917.60
  4. Step 4: Simplify right side
    457,114.40x = 161,435,626,936.90
  5. Step 5: Solve for x
    x = 161,435,626,936.90/457,114.40
  6. Step 6: Final answer
    x = 353,162.42

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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.