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Finding the Fourth Proportional to 407,152.36, 610,719.36 and 140,896.84

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Solution

The fourth proportional to 407,152.36, 610,719.36 and 140,896.84 is: 211,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,152.36 : 610,719.36 = 140,896.84 : x
  2. Step 2: Convert to fraction form
    407,152.36/610,719.36 = 140,896.84/x
  3. Step 3: Cross multiply
    407,152.36x = 610,719.36 × 140,896.84
  4. Step 4: Simplify right side
    407,152.36x = 86,048,427,950.82
  5. Step 5: Solve for x
    x = 86,048,427,950.82/407,152.36
  6. Step 6: Final answer
    x = 211,342.08

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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.