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Finding the Fourth Proportional to 442,559, 664,501.08 and 253,232.84

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Solution

The fourth proportional to 442,559, 664,501.08 and 253,232.84 is: 380,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,559 : 664,501.08 = 253,232.84 : x
  2. Step 2: Convert to fraction form
    442,559/664,501.08 = 253,232.84/x
  3. Step 3: Cross multiply
    442,559x = 664,501.08 × 253,232.84
  4. Step 4: Simplify right side
    442,559x = 168,273,495,671.47
  5. Step 5: Solve for x
    x = 168,273,495,671.47/442,559
  6. Step 6: Final answer
    x = 380,228.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.