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Finding the Fourth Proportional to 486,024.80, 729,037.20 and 447,533.60

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Solution

The fourth proportional to 486,024.80, 729,037.20 and 447,533.60 is: 671,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,024.80 : 729,037.20 = 447,533.60 : x
  2. Step 2: Convert to fraction form
    486,024.80/729,037.20 = 447,533.60/x
  3. Step 3: Cross multiply
    486,024.80x = 729,037.20 × 447,533.60
  4. Step 4: Simplify right side
    486,024.80x = 326,268,642,649.92
  5. Step 5: Solve for x
    x = 326,268,642,649.92/486,024.80
  6. Step 6: Final answer
    x = 671,300.40

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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.