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Finding the Fourth Proportional to 722,596.14, 997,102.14 and 400,225.50

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Solution

The fourth proportional to 722,596.14, 997,102.14 and 400,225.50 is: 552,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,596.14 : 997,102.14 = 400,225.50 : x
  2. Step 2: Convert to fraction form
    722,596.14/997,102.14 = 400,225.50/x
  3. Step 3: Cross multiply
    722,596.14x = 997,102.14 × 400,225.50
  4. Step 4: Simplify right side
    722,596.14x = 399,065,702,532.57
  5. Step 5: Solve for x
    x = 399,065,702,532.57/722,596.14
  6. Step 6: Final answer
    x = 552,266.58

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Why These Related Problems?

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