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Finding the Fourth Proportional to 506,949.12, 699,624 and 292,083.84

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Solution

The fourth proportional to 506,949.12, 699,624 and 292,083.84 is: 403,095.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,949.12 : 699,624 = 292,083.84 : x
  2. Step 2: Convert to fraction form
    506,949.12/699,624 = 292,083.84/x
  3. Step 3: Cross multiply
    506,949.12x = 699,624 × 292,083.84
  4. Step 4: Simplify right side
    506,949.12x = 204,348,864,476.16
  5. Step 5: Solve for x
    x = 204,348,864,476.16/506,949.12
  6. Step 6: Final answer
    x = 403,095.41

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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.