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Finding the Fourth Proportional to 503,024.84, 693,822.77 and 341,599.66

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Solution

The fourth proportional to 503,024.84, 693,822.77 and 341,599.66 is: 471,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,024.84 : 693,822.77 = 341,599.66 : x
  2. Step 2: Convert to fraction form
    503,024.84/693,822.77 = 341,599.66/x
  3. Step 3: Cross multiply
    503,024.84x = 693,822.77 × 341,599.66
  4. Step 4: Simplify right side
    503,024.84x = 237,009,622,332.26
  5. Step 5: Solve for x
    x = 237,009,622,332.26/503,024.84
  6. Step 6: Final answer
    x = 471,168.82

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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.