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Finding the Fourth Proportional to 519,346.23, 778,899.06 and 164,294.07

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Solution

The fourth proportional to 519,346.23, 778,899.06 and 164,294.07 is: 246,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,346.23 : 778,899.06 = 164,294.07 : x
  2. Step 2: Convert to fraction form
    519,346.23/778,899.06 = 164,294.07/x
  3. Step 3: Cross multiply
    519,346.23x = 778,899.06 × 164,294.07
  4. Step 4: Simplify right side
    519,346.23x = 127,968,496,686.57
  5. Step 5: Solve for x
    x = 127,968,496,686.57/519,346.23
  6. Step 6: Final answer
    x = 246,403.05

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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.