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Finding the Fourth Proportional to 408,030.60, 612,045.90 and 308,497.80

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Solution

The fourth proportional to 408,030.60, 612,045.90 and 308,497.80 is: 462,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,030.60 : 612,045.90 = 308,497.80 : x
  2. Step 2: Convert to fraction form
    408,030.60/612,045.90 = 308,497.80/x
  3. Step 3: Cross multiply
    408,030.60x = 612,045.90 × 308,497.80
  4. Step 4: Simplify right side
    408,030.60x = 188,814,813,649.02
  5. Step 5: Solve for x
    x = 188,814,813,649.02/408,030.60
  6. Step 6: Final answer
    x = 462,746.70

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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.