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Finding the Fourth Proportional to 298,036.32, 411,281.92 and 163,900.32

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Solution

The fourth proportional to 298,036.32, 411,281.92 and 163,900.32 is: 226,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,036.32 : 411,281.92 = 163,900.32 : x
  2. Step 2: Convert to fraction form
    298,036.32/411,281.92 = 163,900.32/x
  3. Step 3: Cross multiply
    298,036.32x = 411,281.92 × 163,900.32
  4. Step 4: Simplify right side
    298,036.32x = 67,409,238,298.21
  5. Step 5: Solve for x
    x = 67,409,238,298.21/298,036.32
  6. Step 6: Final answer
    x = 226,177.93

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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.