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Finding the Fourth Proportional to 442,557, 664,498.08 and 253,230.84

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Solution

The fourth proportional to 442,557, 664,498.08 and 253,230.84 is: 380,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,557 : 664,498.08 = 253,230.84 : x
  2. Step 2: Convert to fraction form
    442,557/664,498.08 = 253,230.84/x
  3. Step 3: Cross multiply
    442,557x = 664,498.08 × 253,230.84
  4. Step 4: Simplify right side
    442,557x = 168,271,406,976.79
  5. Step 5: Solve for x
    x = 168,271,406,976.79/442,557
  6. Step 6: Final answer
    x = 380,225.39

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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.