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Finding the Fourth Proportional to 522,295.20, 783,512.51 and 206,678.30

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Solution

The fourth proportional to 522,295.20, 783,512.51 and 206,678.30 is: 310,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,295.20 : 783,512.51 = 206,678.30 : x
  2. Step 2: Convert to fraction form
    522,295.20/783,512.51 = 206,678.30/x
  3. Step 3: Cross multiply
    522,295.20x = 783,512.51 × 206,678.30
  4. Step 4: Simplify right side
    522,295.20x = 161,935,031,780.89
  5. Step 5: Solve for x
    x = 161,935,031,780.89/522,295.20
  6. Step 6: Final answer
    x = 310,045.03

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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.