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Finding the Fourth Proportional to 296,887.01, 409,694.11 and 175,956.51

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Solution

The fourth proportional to 296,887.01, 409,694.11 and 175,956.51 is: 242,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887.01 : 409,694.11 = 175,956.51 : x
  2. Step 2: Convert to fraction form
    296,887.01/409,694.11 = 175,956.51/x
  3. Step 3: Cross multiply
    296,887.01x = 409,694.11 × 175,956.51
  4. Step 4: Simplify right side
    296,887.01x = 72,088,345,763.16
  5. Step 5: Solve for x
    x = 72,088,345,763.16/296,887.01
  6. Step 6: Final answer
    x = 242,814.08

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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.