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Finding the Fourth Proportional to 646,000.20, 967,250.70 and 506,032.20

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Solution

The fourth proportional to 646,000.20, 967,250.70 and 506,032.20 is: 757,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,000.20 : 967,250.70 = 506,032.20 : x
  2. Step 2: Convert to fraction form
    646,000.20/967,250.70 = 506,032.20/x
  3. Step 3: Cross multiply
    646,000.20x = 967,250.70 × 506,032.20
  4. Step 4: Simplify right side
    646,000.20x = 489,459,999,672.54
  5. Step 5: Solve for x
    x = 489,459,999,672.54/646,000.20
  6. Step 6: Final answer
    x = 757,677.78

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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.