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Finding the Fourth Proportional to 590,653.14, 886,066.66 and 191,161.14

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Solution

The fourth proportional to 590,653.14, 886,066.66 and 191,161.14 is: 286,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,653.14 : 886,066.66 = 191,161.14 : x
  2. Step 2: Convert to fraction form
    590,653.14/886,066.66 = 191,161.14/x
  3. Step 3: Cross multiply
    590,653.14x = 886,066.66 × 191,161.14
  4. Step 4: Simplify right side
    590,653.14x = 169,381,512,841.59
  5. Step 5: Solve for x
    x = 169,381,512,841.59/590,653.14
  6. Step 6: Final answer
    x = 286,769.85

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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.