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Finding the Fourth Proportional to 553,541.60, 830,069.40 and 253,922.60

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Solution

The fourth proportional to 553,541.60, 830,069.40 and 253,922.60 is: 380,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,541.60 : 830,069.40 = 253,922.60 : x
  2. Step 2: Convert to fraction form
    553,541.60/830,069.40 = 253,922.60/x
  3. Step 3: Cross multiply
    553,541.60x = 830,069.40 × 253,922.60
  4. Step 4: Simplify right side
    553,541.60x = 210,773,380,228.44
  5. Step 5: Solve for x
    x = 210,773,380,228.44/553,541.60
  6. Step 6: Final answer
    x = 380,772.43

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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.