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Finding the Fourth Proportional to 602,178.38, 831,097.19 and 344,109.64

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Solution

The fourth proportional to 602,178.38, 831,097.19 and 344,109.64 is: 474,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,178.38 : 831,097.19 = 344,109.64 : x
  2. Step 2: Convert to fraction form
    602,178.38/831,097.19 = 344,109.64/x
  3. Step 3: Cross multiply
    602,178.38x = 831,097.19 × 344,109.64
  4. Step 4: Simplify right side
    602,178.38x = 285,988,554,855.91
  5. Step 5: Solve for x
    x = 285,988,554,855.91/602,178.38
  6. Step 6: Final answer
    x = 474,923.32

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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.