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Finding the Fourth Proportional to 520,032.60, 778,493.70 and 489,274.20

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Solution

The fourth proportional to 520,032.60, 778,493.70 and 489,274.20 is: 732,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,032.60 : 778,493.70 = 489,274.20 : x
  2. Step 2: Convert to fraction form
    520,032.60/778,493.70 = 489,274.20/x
  3. Step 3: Cross multiply
    520,032.60x = 778,493.70 × 489,274.20
  4. Step 4: Simplify right side
    520,032.60x = 380,896,882,272.54
  5. Step 5: Solve for x
    x = 380,896,882,272.54/520,032.60
  6. Step 6: Final answer
    x = 732,448.09

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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.