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Finding the Fourth Proportional to 447,588, 671,382.18 and 148,068.56

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Solution

The fourth proportional to 447,588, 671,382.18 and 148,068.56 is: 222,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,588 : 671,382.18 = 148,068.56 : x
  2. Step 2: Convert to fraction form
    447,588/671,382.18 = 148,068.56/x
  3. Step 3: Cross multiply
    447,588x = 671,382.18 × 148,068.56
  4. Step 4: Simplify right side
    447,588x = 99,410,592,602.26
  5. Step 5: Solve for x
    x = 99,410,592,602.26/447,588
  6. Step 6: Final answer
    x = 222,102.90

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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.