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Finding the Fourth Proportional to 510,888.42, 705,047.81 and 284,533.92

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Solution

The fourth proportional to 510,888.42, 705,047.81 and 284,533.92 is: 392,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,888.42 : 705,047.81 = 284,533.92 : x
  2. Step 2: Convert to fraction form
    510,888.42/705,047.81 = 284,533.92/x
  3. Step 3: Cross multiply
    510,888.42x = 705,047.81 × 284,533.92
  4. Step 4: Simplify right side
    510,888.42x = 200,610,015,744.05
  5. Step 5: Solve for x
    x = 200,610,015,744.05/510,888.42
  6. Step 6: Final answer
    x = 392,668.94

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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.