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Finding the Fourth Proportional to 503,024.58, 693,822.42 and 341,599.41

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Solution

The fourth proportional to 503,024.58, 693,822.42 and 341,599.41 is: 471,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,024.58 : 693,822.42 = 341,599.41 : x
  2. Step 2: Convert to fraction form
    503,024.58/693,822.42 = 341,599.41/x
  3. Step 3: Cross multiply
    503,024.58x = 693,822.42 × 341,599.41
  4. Step 4: Simplify right side
    503,024.58x = 237,009,329,316.77
  5. Step 5: Solve for x
    x = 237,009,329,316.77/503,024.58
  6. Step 6: Final answer
    x = 471,168.49

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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.