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Finding the Fourth Proportional to 460,102.84, 634,794.24 and 278,756.80

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Solution

The fourth proportional to 460,102.84, 634,794.24 and 278,756.80 is: 384,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,102.84 : 634,794.24 = 278,756.80 : x
  2. Step 2: Convert to fraction form
    460,102.84/634,794.24 = 278,756.80/x
  3. Step 3: Cross multiply
    460,102.84x = 634,794.24 × 278,756.80
  4. Step 4: Simplify right side
    460,102.84x = 176,953,211,000.83
  5. Step 5: Solve for x
    x = 176,953,211,000.83/460,102.84
  6. Step 6: Final answer
    x = 384,594.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.