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Finding the Fourth Proportional to 289,044.60, 433,566.90 and 277,380.60

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Solution

The fourth proportional to 289,044.60, 433,566.90 and 277,380.60 is: 416,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,044.60 : 433,566.90 = 277,380.60 : x
  2. Step 2: Convert to fraction form
    289,044.60/433,566.90 = 277,380.60/x
  3. Step 3: Cross multiply
    289,044.60x = 433,566.90 × 277,380.60
  4. Step 4: Simplify right side
    289,044.60x = 120,263,046,862.14
  5. Step 5: Solve for x
    x = 120,263,046,862.14/289,044.60
  6. Step 6: Final answer
    x = 416,070.90

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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.