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Finding the Fourth Proportional to 380,496.12, 570,700.98 and 100,035.24

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Solution

The fourth proportional to 380,496.12, 570,700.98 and 100,035.24 is: 150,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,496.12 : 570,700.98 = 100,035.24 : x
  2. Step 2: Convert to fraction form
    380,496.12/570,700.98 = 100,035.24/x
  3. Step 3: Cross multiply
    380,496.12x = 570,700.98 × 100,035.24
  4. Step 4: Simplify right side
    380,496.12x = 57,090,209,502.54
  5. Step 5: Solve for x
    x = 57,090,209,502.54/380,496.12
  6. Step 6: Final answer
    x = 150,041.50

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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.