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Finding the Fourth Proportional to 519,323.90, 778,840.05 and 164,446.70

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Solution

The fourth proportional to 519,323.90, 778,840.05 and 164,446.70 is: 246,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,323.90 : 778,840.05 = 164,446.70 : x
  2. Step 2: Convert to fraction form
    519,323.90/778,840.05 = 164,446.70/x
  3. Step 3: Cross multiply
    519,323.90x = 778,840.05 × 164,446.70
  4. Step 4: Simplify right side
    519,323.90x = 128,077,676,050.34
  5. Step 5: Solve for x
    x = 128,077,676,050.34/519,323.90
  6. Step 6: Final answer
    x = 246,623.88

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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.