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Finding the Fourth Proportional to 736,783.70, 1,016,759.78 and 414,493.70

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Solution

The fourth proportional to 736,783.70, 1,016,759.78 and 414,493.70 is: 572,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,783.70 : 1,016,759.78 = 414,493.70 : x
  2. Step 2: Convert to fraction form
    736,783.70/1,016,759.78 = 414,493.70/x
  3. Step 3: Cross multiply
    736,783.70x = 1,016,759.78 × 414,493.70
  4. Step 4: Simplify right side
    736,783.70x = 421,440,521,150.92
  5. Step 5: Solve for x
    x = 421,440,521,150.92/736,783.70
  6. Step 6: Final answer
    x = 572,000.33

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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.