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Finding the Fourth Proportional to 584,289, 806,318.88 and 316,017

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Solution

The fourth proportional to 584,289, 806,318.88 and 316,017 is: 436,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,289 : 806,318.88 = 316,017 : x
  2. Step 2: Convert to fraction form
    584,289/806,318.88 = 316,017/x
  3. Step 3: Cross multiply
    584,289x = 806,318.88 × 316,017
  4. Step 4: Simplify right side
    584,289x = 254,810,473,500.96
  5. Step 5: Solve for x
    x = 254,810,473,500.96/584,289
  6. Step 6: Final answer
    x = 436,103.49

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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.