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Finding the Fourth Proportional to 286,401.77, 429,249.83 and 117,816.87

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Solution

The fourth proportional to 286,401.77, 429,249.83 and 117,816.87 is: 176,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,401.77 : 429,249.83 = 117,816.87 : x
  2. Step 2: Convert to fraction form
    286,401.77/429,249.83 = 117,816.87/x
  3. Step 3: Cross multiply
    286,401.77x = 429,249.83 × 117,816.87
  4. Step 4: Simplify right side
    286,401.77x = 50,572,870,829.55
  5. Step 5: Solve for x
    x = 50,572,870,829.55/286,401.77
  6. Step 6: Final answer
    x = 176,580.16

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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.