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Finding the Fourth Proportional to 510,860.67, 705,009.59 and 284,506.17

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Solution

The fourth proportional to 510,860.67, 705,009.59 and 284,506.17 is: 392,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,860.67 : 705,009.59 = 284,506.17 : x
  2. Step 2: Convert to fraction form
    510,860.67/705,009.59 = 284,506.17/x
  3. Step 3: Cross multiply
    510,860.67x = 705,009.59 × 284,506.17
  4. Step 4: Simplify right side
    510,860.67x = 200,579,573,316.59
  5. Step 5: Solve for x
    x = 200,579,573,316.59/510,860.67
  6. Step 6: Final answer
    x = 392,630.69

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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.