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Finding the Fourth Proportional to 457,070.80, 685,606.20 and 338,972.80

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Solution

The fourth proportional to 457,070.80, 685,606.20 and 338,972.80 is: 508,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,070.80 : 685,606.20 = 338,972.80 : x
  2. Step 2: Convert to fraction form
    457,070.80/685,606.20 = 338,972.80/x
  3. Step 3: Cross multiply
    457,070.80x = 685,606.20 × 338,972.80
  4. Step 4: Simplify right side
    457,070.80x = 232,401,853,311.36
  5. Step 5: Solve for x
    x = 232,401,853,311.36/457,070.80
  6. Step 6: Final answer
    x = 508,459.20

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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.