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Finding the Fourth Proportional to 298,717.61, 412,228.01 and 162,751.14

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Solution

The fourth proportional to 298,717.61, 412,228.01 and 162,751.14 is: 224,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,717.61 : 412,228.01 = 162,751.14 : x
  2. Step 2: Convert to fraction form
    298,717.61/412,228.01 = 162,751.14/x
  3. Step 3: Cross multiply
    298,717.61x = 412,228.01 × 162,751.14
  4. Step 4: Simplify right side
    298,717.61x = 67,090,578,567.43
  5. Step 5: Solve for x
    x = 67,090,578,567.43/298,717.61
  6. Step 6: Final answer
    x = 224,595.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.