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Finding the Fourth Proportional to 520,853.60, 781,323.60 and 165,857.60

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Solution

The fourth proportional to 520,853.60, 781,323.60 and 165,857.60 is: 248,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,853.60 : 781,323.60 = 165,857.60 : x
  2. Step 2: Convert to fraction form
    520,853.60/781,323.60 = 165,857.60/x
  3. Step 3: Cross multiply
    520,853.60x = 781,323.60 × 165,857.60
  4. Step 4: Simplify right side
    520,853.60x = 129,588,457,119.36
  5. Step 5: Solve for x
    x = 129,588,457,119.36/520,853.60
  6. Step 6: Final answer
    x = 248,800.16

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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.