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Finding the Fourth Proportional to 297,112.51, 409,882.44 and 176,258.89

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Solution

The fourth proportional to 297,112.51, 409,882.44 and 176,258.89 is: 243,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,112.51 : 409,882.44 = 176,258.89 : x
  2. Step 2: Convert to fraction form
    297,112.51/409,882.44 = 176,258.89/x
  3. Step 3: Cross multiply
    297,112.51x = 409,882.44 × 176,258.89
  4. Step 4: Simplify right side
    297,112.51x = 72,245,423,904.89
  5. Step 5: Solve for x
    x = 72,245,423,904.89/297,112.51
  6. Step 6: Final answer
    x = 243,158.47

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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.