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Finding the Fourth Proportional to 602,415.39, 831,895.82 and 387,932.66

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Solution

The fourth proportional to 602,415.39, 831,895.82 and 387,932.66 is: 535,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,415.39 : 831,895.82 = 387,932.66 : x
  2. Step 2: Convert to fraction form
    602,415.39/831,895.82 = 387,932.66/x
  3. Step 3: Cross multiply
    602,415.39x = 831,895.82 × 387,932.66
  4. Step 4: Simplify right side
    602,415.39x = 322,719,552,196.34
  5. Step 5: Solve for x
    x = 322,719,552,196.34/602,415.39
  6. Step 6: Final answer
    x = 535,709.34

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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.