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Finding the Fourth Proportional to 700,700.23, 966,966.28 and 378,410.30

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Solution

The fourth proportional to 700,700.23, 966,966.28 and 378,410.30 is: 522,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,700.23 : 966,966.28 = 378,410.30 : x
  2. Step 2: Convert to fraction form
    700,700.23/966,966.28 = 378,410.30/x
  3. Step 3: Cross multiply
    700,700.23x = 966,966.28 × 378,410.30
  4. Step 4: Simplify right side
    700,700.23x = 365,909,995,269.85
  5. Step 5: Solve for x
    x = 365,909,995,269.85/700,700.23
  6. Step 6: Final answer
    x = 522,206.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.