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Finding the Fourth Proportional to 298,973.84, 412,587.12 and 163,006.68

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Solution

The fourth proportional to 298,973.84, 412,587.12 and 163,006.68 is: 224,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,973.84 : 412,587.12 = 163,006.68 : x
  2. Step 2: Convert to fraction form
    298,973.84/412,587.12 = 163,006.68/x
  3. Step 3: Cross multiply
    298,973.84x = 412,587.12 × 163,006.68
  4. Step 4: Simplify right side
    298,973.84x = 67,254,455,562.72
  5. Step 5: Solve for x
    x = 67,254,455,562.72/298,973.84
  6. Step 6: Final answer
    x = 224,950.97

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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.