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Finding the Fourth Proportional to 407,807.16, 611,716.89 and 141,576.13

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Solution

The fourth proportional to 407,807.16, 611,716.89 and 141,576.13 is: 212,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,807.16 : 611,716.89 = 141,576.13 : x
  2. Step 2: Convert to fraction form
    407,807.16/611,716.89 = 141,576.13/x
  3. Step 3: Cross multiply
    407,807.16x = 611,716.89 × 141,576.13
  4. Step 4: Simplify right side
    407,807.16x = 86,604,509,801.18
  5. Step 5: Solve for x
    x = 86,604,509,801.18/407,807.16
  6. Step 6: Final answer
    x = 212,366.33

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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.