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Finding the Fourth Proportional to 565,239.60, 847,859.40 and 144,493.20

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Solution

The fourth proportional to 565,239.60, 847,859.40 and 144,493.20 is: 216,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,239.60 : 847,859.40 = 144,493.20 : x
  2. Step 2: Convert to fraction form
    565,239.60/847,859.40 = 144,493.20/x
  3. Step 3: Cross multiply
    565,239.60x = 847,859.40 × 144,493.20
  4. Step 4: Simplify right side
    565,239.60x = 122,509,917,856.08
  5. Step 5: Solve for x
    x = 122,509,917,856.08/565,239.60
  6. Step 6: Final answer
    x = 216,739.80

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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.