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Finding the Fourth Proportional to 520,033.10, 778,494.45 and 489,274.70

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Solution

The fourth proportional to 520,033.10, 778,494.45 and 489,274.70 is: 732,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,033.10 : 778,494.45 = 489,274.70 : x
  2. Step 2: Convert to fraction form
    520,033.10/778,494.45 = 489,274.70/x
  3. Step 3: Cross multiply
    520,033.10x = 778,494.45 × 489,274.70
  4. Step 4: Simplify right side
    520,033.10x = 380,897,638,475.42
  5. Step 5: Solve for x
    x = 380,897,638,475.42/520,033.10
  6. Step 6: Final answer
    x = 732,448.84

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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.