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Finding the Fourth Proportional to 473,878.90, 710,713.41 and 136,846.18

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Solution

The fourth proportional to 473,878.90, 710,713.41 and 136,846.18 is: 205,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,878.90 : 710,713.41 = 136,846.18 : x
  2. Step 2: Convert to fraction form
    473,878.90/710,713.41 = 136,846.18/x
  3. Step 3: Cross multiply
    473,878.90x = 710,713.41 × 136,846.18
  4. Step 4: Simplify right side
    473,878.90x = 97,258,415,233.27
  5. Step 5: Solve for x
    x = 97,258,415,233.27/473,878.90
  6. Step 6: Final answer
    x = 205,238.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.