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Finding the Fourth Proportional to 561,812.19, 842,802.16 and 206,799.22

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Solution

The fourth proportional to 561,812.19, 842,802.16 and 206,799.22 is: 310,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,812.19 : 842,802.16 = 206,799.22 : x
  2. Step 2: Convert to fraction form
    561,812.19/842,802.16 = 206,799.22/x
  3. Step 3: Cross multiply
    561,812.19x = 842,802.16 × 206,799.22
  4. Step 4: Simplify right side
    561,812.19x = 174,290,829,302.32
  5. Step 5: Solve for x
    x = 174,290,829,302.32/561,812.19
  6. Step 6: Final answer
    x = 310,229.70

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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.