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Finding the Fourth Proportional to 297,205.85, 410,303.21 and 229,073.51

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Solution

The fourth proportional to 297,205.85, 410,303.21 and 229,073.51 is: 316,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,205.85 : 410,303.21 = 229,073.51 : x
  2. Step 2: Convert to fraction form
    297,205.85/410,303.21 = 229,073.51/x
  3. Step 3: Cross multiply
    297,205.85x = 410,303.21 × 229,073.51
  4. Step 4: Simplify right side
    297,205.85x = 93,989,593,282.08
  5. Step 5: Solve for x
    x = 93,989,593,282.08/297,205.85
  6. Step 6: Final answer
    x = 316,244.09

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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.