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Finding the Fourth Proportional to 510,861.69, 705,011.00 and 284,507.19

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Solution

The fourth proportional to 510,861.69, 705,011.00 and 284,507.19 is: 392,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,861.69 : 705,011.00 = 284,507.19 : x
  2. Step 2: Convert to fraction form
    510,861.69/705,011.00 = 284,507.19/x
  3. Step 3: Cross multiply
    510,861.69x = 705,011.00 × 284,507.19
  4. Step 4: Simplify right side
    510,861.69x = 200,580,699,240.36
  5. Step 5: Solve for x
    x = 200,580,699,240.36/510,861.69
  6. Step 6: Final answer
    x = 392,632.10

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1.5x scale

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.