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Finding the Fourth Proportional to 313,934.40, 470,901.60 and 289,972.80

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Solution

The fourth proportional to 313,934.40, 470,901.60 and 289,972.80 is: 434,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,934.40 : 470,901.60 = 289,972.80 : x
  2. Step 2: Convert to fraction form
    313,934.40/470,901.60 = 289,972.80/x
  3. Step 3: Cross multiply
    313,934.40x = 470,901.60 × 289,972.80
  4. Step 4: Simplify right side
    313,934.40x = 136,548,655,476.48
  5. Step 5: Solve for x
    x = 136,548,655,476.48/313,934.40
  6. Step 6: Final answer
    x = 434,959.20

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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.