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Finding the Fourth Proportional to 472,798, 709,195.38 and 117,812.26

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Solution

The fourth proportional to 472,798, 709,195.38 and 117,812.26 is: 176,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,798 : 709,195.38 = 117,812.26 : x
  2. Step 2: Convert to fraction form
    472,798/709,195.38 = 117,812.26/x
  3. Step 3: Cross multiply
    472,798x = 709,195.38 × 117,812.26
  4. Step 4: Simplify right side
    472,798x = 83,551,910,499.36
  5. Step 5: Solve for x
    x = 83,551,910,499.36/472,798
  6. Step 6: Final answer
    x = 176,717.99

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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.