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Finding the Fourth Proportional to 473,258.43, 653,094.09 and 258,398.64

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Solution

The fourth proportional to 473,258.43, 653,094.09 and 258,398.64 is: 356,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,258.43 : 653,094.09 = 258,398.64 : x
  2. Step 2: Convert to fraction form
    473,258.43/653,094.09 = 258,398.64/x
  3. Step 3: Cross multiply
    473,258.43x = 653,094.09 × 258,398.64
  4. Step 4: Simplify right side
    473,258.43x = 168,758,624,648.04
  5. Step 5: Solve for x
    x = 168,758,624,648.04/473,258.43
  6. Step 6: Final answer
    x = 356,588.73

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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.