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Finding the Fourth Proportional to 451,608.43, 677,412.65 and 152,063.93

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Solution

The fourth proportional to 451,608.43, 677,412.65 and 152,063.93 is: 228,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,608.43 : 677,412.65 = 152,063.93 : x
  2. Step 2: Convert to fraction form
    451,608.43/677,412.65 = 152,063.93/x
  3. Step 3: Cross multiply
    451,608.43x = 677,412.65 × 152,063.93
  4. Step 4: Simplify right side
    451,608.43x = 103,010,031,864.41
  5. Step 5: Solve for x
    x = 103,010,031,864.41/451,608.43
  6. Step 6: Final answer
    x = 228,095.90

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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.