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Finding the Fourth Proportional to 398,875.92, 598,233.40 and 146,070.11

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Solution

The fourth proportional to 398,875.92, 598,233.40 and 146,070.11 is: 219,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,875.92 : 598,233.40 = 146,070.11 : x
  2. Step 2: Convert to fraction form
    398,875.92/598,233.40 = 146,070.11/x
  3. Step 3: Cross multiply
    398,875.92x = 598,233.40 × 146,070.11
  4. Step 4: Simplify right side
    398,875.92x = 87,384,015,187.33
  5. Step 5: Solve for x
    x = 87,384,015,187.33/398,875.92
  6. Step 6: Final answer
    x = 219,075.69

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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.