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Finding the Fourth Proportional to 519,348.23, 778,902.06 and 164,296.07

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Solution

The fourth proportional to 519,348.23, 778,902.06 and 164,296.07 is: 246,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,348.23 : 778,902.06 = 164,296.07 : x
  2. Step 2: Convert to fraction form
    519,348.23/778,902.06 = 164,296.07/x
  3. Step 3: Cross multiply
    519,348.23x = 778,902.06 × 164,296.07
  4. Step 4: Simplify right side
    519,348.23x = 127,970,547,372.90
  5. Step 5: Solve for x
    x = 127,970,547,372.90/519,348.23
  6. Step 6: Final answer
    x = 246,406.05

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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.