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Finding the Fourth Proportional to 564,534.24, 846,144.72 and 209,274.72

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Solution

The fourth proportional to 564,534.24, 846,144.72 and 209,274.72 is: 313,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,534.24 : 846,144.72 = 209,274.72 : x
  2. Step 2: Convert to fraction form
    564,534.24/846,144.72 = 209,274.72/x
  3. Step 3: Cross multiply
    564,534.24x = 846,144.72 × 209,274.72
  4. Step 4: Simplify right side
    564,534.24x = 177,076,699,357.48
  5. Step 5: Solve for x
    x = 177,076,699,357.48/564,534.24
  6. Step 6: Final answer
    x = 313,668.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.