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Finding the Fourth Proportional to 380,493.12, 570,696.48 and 100,032.24

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Solution

The fourth proportional to 380,493.12, 570,696.48 and 100,032.24 is: 150,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,493.12 : 570,696.48 = 100,032.24 : x
  2. Step 2: Convert to fraction form
    380,493.12/570,696.48 = 100,032.24/x
  3. Step 3: Cross multiply
    380,493.12x = 570,696.48 × 100,032.24
  4. Step 4: Simplify right side
    380,493.12x = 57,088,047,254.52
  5. Step 5: Solve for x
    x = 57,088,047,254.52/380,493.12
  6. Step 6: Final answer
    x = 150,037.00

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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.