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Finding the Fourth Proportional to 519,013.35, 778,430.25 and 234,637.77

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Solution

The fourth proportional to 519,013.35, 778,430.25 and 234,637.77 is: 351,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,013.35 : 778,430.25 = 234,637.77 : x
  2. Step 2: Convert to fraction form
    519,013.35/778,430.25 = 234,637.77/x
  3. Step 3: Cross multiply
    519,013.35x = 778,430.25 × 234,637.77
  4. Step 4: Simplify right side
    519,013.35x = 182,649,137,960.54
  5. Step 5: Solve for x
    x = 182,649,137,960.54/519,013.35
  6. Step 6: Final answer
    x = 351,916.07

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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.