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Finding the Fourth Proportional to 506,897.96, 699,517.32 and 274,324.42

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Solution

The fourth proportional to 506,897.96, 699,517.32 and 274,324.42 is: 378,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,897.96 : 699,517.32 = 274,324.42 : x
  2. Step 2: Convert to fraction form
    506,897.96/699,517.32 = 274,324.42/x
  3. Step 3: Cross multiply
    506,897.96x = 699,517.32 × 274,324.42
  4. Step 4: Simplify right side
    506,897.96x = 191,894,683,088.95
  5. Step 5: Solve for x
    x = 191,894,683,088.95/506,897.96
  6. Step 6: Final answer
    x = 378,566.69

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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.