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Finding the Fourth Proportional to 305,201.40, 457,802.10 and 155,902.20

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Solution

The fourth proportional to 305,201.40, 457,802.10 and 155,902.20 is: 233,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,201.40 : 457,802.10 = 155,902.20 : x
  2. Step 2: Convert to fraction form
    305,201.40/457,802.10 = 155,902.20/x
  3. Step 3: Cross multiply
    305,201.40x = 457,802.10 × 155,902.20
  4. Step 4: Simplify right side
    305,201.40x = 71,372,354,554.62
  5. Step 5: Solve for x
    x = 71,372,354,554.62/305,201.40
  6. Step 6: Final answer
    x = 233,853.30

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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.