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Finding the Fourth Proportional to 520,852.80, 781,322.40 and 165,856.80

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Solution

The fourth proportional to 520,852.80, 781,322.40 and 165,856.80 is: 248,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,852.80 : 781,322.40 = 165,856.80 : x
  2. Step 2: Convert to fraction form
    520,852.80/781,322.40 = 165,856.80/x
  3. Step 3: Cross multiply
    520,852.80x = 781,322.40 × 165,856.80
  4. Step 4: Simplify right side
    520,852.80x = 129,587,633,032.32
  5. Step 5: Solve for x
    x = 129,587,633,032.32/520,852.80
  6. Step 6: Final answer
    x = 248,798.96

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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.