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Finding the Fourth Proportional to 304,801.60, 457,202.40 and 284,065.60

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Solution

The fourth proportional to 304,801.60, 457,202.40 and 284,065.60 is: 426,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,801.60 : 457,202.40 = 284,065.60 : x
  2. Step 2: Convert to fraction form
    304,801.60/457,202.40 = 284,065.60/x
  3. Step 3: Cross multiply
    304,801.60x = 457,202.40 × 284,065.60
  4. Step 4: Simplify right side
    304,801.60x = 129,875,474,077.44
  5. Step 5: Solve for x
    x = 129,875,474,077.44/304,801.60
  6. Step 6: Final answer
    x = 426,098.40

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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.