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Finding the Fourth Proportional to 510,913.17, 705,081.96 and 284,558.67

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Solution

The fourth proportional to 510,913.17, 705,081.96 and 284,558.67 is: 392,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,913.17 : 705,081.96 = 284,558.67 : x
  2. Step 2: Convert to fraction form
    510,913.17/705,081.96 = 284,558.67/x
  3. Step 3: Cross multiply
    510,913.17x = 705,081.96 × 284,558.67
  4. Step 4: Simplify right side
    510,913.17x = 200,637,184,778.59
  5. Step 5: Solve for x
    x = 200,637,184,778.59/510,913.17
  6. Step 6: Final answer
    x = 392,703.10

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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.