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Finding the Fourth Proportional to 313,901.70, 470,852.55 and 219,423.30

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Solution

The fourth proportional to 313,901.70, 470,852.55 and 219,423.30 is: 329,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,901.70 : 470,852.55 = 219,423.30 : x
  2. Step 2: Convert to fraction form
    313,901.70/470,852.55 = 219,423.30/x
  3. Step 3: Cross multiply
    313,901.70x = 470,852.55 × 219,423.30
  4. Step 4: Simplify right side
    313,901.70x = 103,316,020,334.42
  5. Step 5: Solve for x
    x = 103,316,020,334.42/313,901.70
  6. Step 6: Final answer
    x = 329,134.95

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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.