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Finding the Fourth Proportional to 519,348.11, 778,944.06 and 164,315.93

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Solution

The fourth proportional to 519,348.11, 778,944.06 and 164,315.93 is: 246,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,348.11 : 778,944.06 = 164,315.93 : x
  2. Step 2: Convert to fraction form
    519,348.11/778,944.06 = 164,315.93/x
  3. Step 3: Cross multiply
    519,348.11x = 778,944.06 × 164,315.93
  4. Step 4: Simplify right side
    519,348.11x = 127,992,913,742.16
  5. Step 5: Solve for x
    x = 127,992,913,742.16/519,348.11
  6. Step 6: Final answer
    x = 246,449.18

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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.