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Finding the Fourth Proportional to 410,511.84, 566,506.67 and 229,223.51

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Solution

The fourth proportional to 410,511.84, 566,506.67 and 229,223.51 is: 316,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,511.84 : 566,506.67 = 229,223.51 : x
  2. Step 2: Convert to fraction form
    410,511.84/566,506.67 = 229,223.51/x
  3. Step 3: Cross multiply
    410,511.84x = 566,506.67 × 229,223.51
  4. Step 4: Simplify right side
    410,511.84x = 129,856,647,335.81
  5. Step 5: Solve for x
    x = 129,856,647,335.81/410,511.84
  6. Step 6: Final answer
    x = 316,328.63

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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.