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Finding the Fourth Proportional to 567,137.17, 782,800.23 and 334,768.42

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Solution

The fourth proportional to 567,137.17, 782,800.23 and 334,768.42 is: 462,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,137.17 : 782,800.23 = 334,768.42 : x
  2. Step 2: Convert to fraction form
    567,137.17/782,800.23 = 334,768.42/x
  3. Step 3: Cross multiply
    567,137.17x = 782,800.23 × 334,768.42
  4. Step 4: Simplify right side
    567,137.17x = 262,056,796,172.74
  5. Step 5: Solve for x
    x = 262,056,796,172.74/567,137.17
  6. Step 6: Final answer
    x = 462,069.51

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1.5x scale

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.