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Finding the Fourth Proportional to 360,902.32, 498,056.96 and 207,928.51

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Solution

The fourth proportional to 360,902.32, 498,056.96 and 207,928.51 is: 286,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,902.32 : 498,056.96 = 207,928.51 : x
  2. Step 2: Convert to fraction form
    360,902.32/498,056.96 = 207,928.51/x
  3. Step 3: Cross multiply
    360,902.32x = 498,056.96 × 207,928.51
  4. Step 4: Simplify right side
    360,902.32x = 103,560,238,058.00
  5. Step 5: Solve for x
    x = 103,560,238,058.00/360,902.32
  6. Step 6: Final answer
    x = 286,948.11

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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.