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Finding the Fourth Proportional to 700,852.30, 1,047,438.54 and 511,711.43

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Solution

The fourth proportional to 700,852.30, 1,047,438.54 and 511,711.43 is: 764,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,852.30 : 1,047,438.54 = 511,711.43 : x
  2. Step 2: Convert to fraction form
    700,852.30/1,047,438.54 = 511,711.43/x
  3. Step 3: Cross multiply
    700,852.30x = 1,047,438.54 × 511,711.43
  4. Step 4: Simplify right side
    700,852.30x = 535,986,267,903.32
  5. Step 5: Solve for x
    x = 535,986,267,903.32/700,852.30
  6. Step 6: Final answer
    x = 764,763.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.