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Finding the Fourth Proportional to 461,335.20, 692,002.80 and 212,017.20

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Solution

The fourth proportional to 461,335.20, 692,002.80 and 212,017.20 is: 318,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,335.20 : 692,002.80 = 212,017.20 : x
  2. Step 2: Convert to fraction form
    461,335.20/692,002.80 = 212,017.20/x
  3. Step 3: Cross multiply
    461,335.20x = 692,002.80 × 212,017.20
  4. Step 4: Simplify right side
    461,335.20x = 146,716,496,048.16
  5. Step 5: Solve for x
    x = 146,716,496,048.16/461,335.20
  6. Step 6: Final answer
    x = 318,025.80

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Similar ratio
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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.