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Finding the Fourth Proportional to 565,204.60, 847,803.54 and 144,479.80

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Solution

The fourth proportional to 565,204.60, 847,803.54 and 144,479.80 is: 216,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,204.60 : 847,803.54 = 144,479.80 : x
  2. Step 2: Convert to fraction form
    565,204.60/847,803.54 = 144,479.80/x
  3. Step 3: Cross multiply
    565,204.60x = 847,803.54 × 144,479.80
  4. Step 4: Simplify right side
    565,204.60x = 122,490,485,898.49
  5. Step 5: Solve for x
    x = 122,490,485,898.49/565,204.60
  6. Step 6: Final answer
    x = 216,718.84

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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.