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Finding the Fourth Proportional to 693,428, 1,039,596.86 and 465,954.50

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Solution

The fourth proportional to 693,428, 1,039,596.86 and 465,954.50 is: 698,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,428 : 1,039,596.86 = 465,954.50 : x
  2. Step 2: Convert to fraction form
    693,428/1,039,596.86 = 465,954.50/x
  3. Step 3: Cross multiply
    693,428x = 1,039,596.86 × 465,954.50
  4. Step 4: Simplify right side
    693,428x = 484,404,835,102.87
  5. Step 5: Solve for x
    x = 484,404,835,102.87/693,428
  6. Step 6: Final answer
    x = 698,565.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.