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Finding the Fourth Proportional to 395,840.64, 593,752.28 and 96,323.20

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Solution

The fourth proportional to 395,840.64, 593,752.28 and 96,323.20 is: 144,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,840.64 : 593,752.28 = 96,323.20 : x
  2. Step 2: Convert to fraction form
    395,840.64/593,752.28 = 96,323.20/x
  3. Step 3: Cross multiply
    395,840.64x = 593,752.28 × 96,323.20
  4. Step 4: Simplify right side
    395,840.64x = 57,192,119,616.90
  5. Step 5: Solve for x
    x = 57,192,119,616.90/395,840.64
  6. Step 6: Final answer
    x = 144,482.69

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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.