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Finding the Fourth Proportional to 297,029.29, 409,875.10 and 169,680.01

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Solution

The fourth proportional to 297,029.29, 409,875.10 and 169,680.01 is: 234,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,029.29 : 409,875.10 = 169,680.01 : x
  2. Step 2: Convert to fraction form
    297,029.29/409,875.10 = 169,680.01/x
  3. Step 3: Cross multiply
    297,029.29x = 409,875.10 × 169,680.01
  4. Step 4: Simplify right side
    297,029.29x = 69,547,611,066.75
  5. Step 5: Solve for x
    x = 69,547,611,066.75/297,029.29
  6. Step 6: Final answer
    x = 234,143.95

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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.