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Finding the Fourth Proportional to 310,902.30, 466,353.45 and 305,718.30

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Solution

The fourth proportional to 310,902.30, 466,353.45 and 305,718.30 is: 458,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,902.30 : 466,353.45 = 305,718.30 : x
  2. Step 2: Convert to fraction form
    310,902.30/466,353.45 = 305,718.30/x
  3. Step 3: Cross multiply
    310,902.30x = 466,353.45 × 305,718.30
  4. Step 4: Simplify right side
    310,902.30x = 142,572,783,933.14
  5. Step 5: Solve for x
    x = 142,572,783,933.14/310,902.30
  6. Step 6: Final answer
    x = 458,577.45

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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.