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Finding the Fourth Proportional to 298,037.32, 411,283.30 and 163,901.32

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Solution

The fourth proportional to 298,037.32, 411,283.30 and 163,901.32 is: 226,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,037.32 : 411,283.30 = 163,901.32 : x
  2. Step 2: Convert to fraction form
    298,037.32/411,283.30 = 163,901.32/x
  3. Step 3: Cross multiply
    298,037.32x = 411,283.30 × 163,901.32
  4. Step 4: Simplify right side
    298,037.32x = 67,409,875,763.96
  5. Step 5: Solve for x
    x = 67,409,875,763.96/298,037.32
  6. Step 6: Final answer
    x = 226,179.31

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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.