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Finding the Fourth Proportional to 442,142.90, 661,803.15 and 348,830.90

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Solution

The fourth proportional to 442,142.90, 661,803.15 and 348,830.90 is: 522,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,142.90 : 661,803.15 = 348,830.90 : x
  2. Step 2: Convert to fraction form
    442,142.90/661,803.15 = 348,830.90/x
  3. Step 3: Cross multiply
    442,142.90x = 661,803.15 × 348,830.90
  4. Step 4: Simplify right side
    442,142.90x = 230,857,388,437.34
  5. Step 5: Solve for x
    x = 230,857,388,437.34/442,142.90
  6. Step 6: Final answer
    x = 522,132.98

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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.