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Finding the Fourth Proportional to 370,152.96, 510,780.24 and 217,175.16

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Solution

The fourth proportional to 370,152.96, 510,780.24 and 217,175.16 is: 299,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,152.96 : 510,780.24 = 217,175.16 : x
  2. Step 2: Convert to fraction form
    370,152.96/510,780.24 = 217,175.16/x
  3. Step 3: Cross multiply
    370,152.96x = 510,780.24 × 217,175.16
  4. Step 4: Simplify right side
    370,152.96x = 110,928,780,346.84
  5. Step 5: Solve for x
    x = 110,928,780,346.84/370,152.96
  6. Step 6: Final answer
    x = 299,683.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.