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Finding the Fourth Proportional to 298,932, 412,526.16 and 164,798.88

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Solution

The fourth proportional to 298,932, 412,526.16 and 164,798.88 is: 227,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,932 : 412,526.16 = 164,798.88 : x
  2. Step 2: Convert to fraction form
    298,932/412,526.16 = 164,798.88/x
  3. Step 3: Cross multiply
    298,932x = 412,526.16 × 164,798.88
  4. Step 4: Simplify right side
    298,932x = 67,983,849,138.70
  5. Step 5: Solve for x
    x = 67,983,849,138.70/298,932
  6. Step 6: Final answer
    x = 227,422.45

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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.