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Finding the Fourth Proportional to 467,101.80, 700,652.70 and 298,812.15

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Solution

The fourth proportional to 467,101.80, 700,652.70 and 298,812.15 is: 448,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,101.80 : 700,652.70 = 298,812.15 : x
  2. Step 2: Convert to fraction form
    467,101.80/700,652.70 = 298,812.15/x
  3. Step 3: Cross multiply
    467,101.80x = 700,652.70 × 298,812.15
  4. Step 4: Simplify right side
    467,101.80x = 209,363,539,690.31
  5. Step 5: Solve for x
    x = 209,363,539,690.31/467,101.80
  6. Step 6: Final answer
    x = 448,218.23

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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.