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Finding the Fourth Proportional to 447,713.76, 671,409.36 and 148,139.04

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Solution

The fourth proportional to 447,713.76, 671,409.36 and 148,139.04 is: 222,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,713.76 : 671,409.36 = 148,139.04 : x
  2. Step 2: Convert to fraction form
    447,713.76/671,409.36 = 148,139.04/x
  3. Step 3: Cross multiply
    447,713.76x = 671,409.36 × 148,139.04
  4. Step 4: Simplify right side
    447,713.76x = 99,461,938,037.41
  5. Step 5: Solve for x
    x = 99,461,938,037.41/447,713.76
  6. Step 6: Final answer
    x = 222,155.20

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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.