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Finding the Fourth Proportional to 380,299.12, 570,405.48 and 99,838.24

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Solution

The fourth proportional to 380,299.12, 570,405.48 and 99,838.24 is: 149,746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,299.12 : 570,405.48 = 99,838.24 : x
  2. Step 2: Convert to fraction form
    380,299.12/570,405.48 = 99,838.24/x
  3. Step 3: Cross multiply
    380,299.12x = 570,405.48 × 99,838.24
  4. Step 4: Simplify right side
    380,299.12x = 56,948,279,209.56
  5. Step 5: Solve for x
    x = 56,948,279,209.56/380,299.12
  6. Step 6: Final answer
    x = 149,746.02

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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.