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Finding the Fourth Proportional to 461,938.80, 692,908.20 and 304,345.20

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Solution

The fourth proportional to 461,938.80, 692,908.20 and 304,345.20 is: 456,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,938.80 : 692,908.20 = 304,345.20 : x
  2. Step 2: Convert to fraction form
    461,938.80/692,908.20 = 304,345.20/x
  3. Step 3: Cross multiply
    461,938.80x = 692,908.20 × 304,345.20
  4. Step 4: Simplify right side
    461,938.80x = 210,883,284,710.64
  5. Step 5: Solve for x
    x = 210,883,284,710.64/461,938.80
  6. Step 6: Final answer
    x = 456,517.80

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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.