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Finding the Fourth Proportional to 420,525.84, 580,328.04 and 229,535.04

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Solution

The fourth proportional to 420,525.84, 580,328.04 and 229,535.04 is: 316,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,525.84 : 580,328.04 = 229,535.04 : x
  2. Step 2: Convert to fraction form
    420,525.84/580,328.04 = 229,535.04/x
  3. Step 3: Cross multiply
    420,525.84x = 580,328.04 × 229,535.04
  4. Step 4: Simplify right side
    420,525.84x = 133,205,619,874.52
  5. Step 5: Solve for x
    x = 133,205,619,874.52/420,525.84
  6. Step 6: Final answer
    x = 316,759.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.