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Finding the Fourth Proportional to 500,857.57, 751,294.59 and 141,037.08

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Solution

The fourth proportional to 500,857.57, 751,294.59 and 141,037.08 is: 211,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,857.57 : 751,294.59 = 141,037.08 : x
  2. Step 2: Convert to fraction form
    500,857.57/751,294.59 = 141,037.08/x
  3. Step 3: Cross multiply
    500,857.57x = 751,294.59 × 141,037.08
  4. Step 4: Simplify right side
    500,857.57x = 105,960,391,436.92
  5. Step 5: Solve for x
    x = 105,960,391,436.92/500,857.57
  6. Step 6: Final answer
    x = 211,557.93

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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.