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Finding the Fourth Proportional to 872,233.75, 1,203,506.16 and 509,587.57

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Solution

The fourth proportional to 872,233.75, 1,203,506.16 and 509,587.57 is: 703,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,233.75 : 1,203,506.16 = 509,587.57 : x
  2. Step 2: Convert to fraction form
    872,233.75/1,203,506.16 = 509,587.57/x
  3. Step 3: Cross multiply
    872,233.75x = 1,203,506.16 × 509,587.57
  4. Step 4: Simplify right side
    872,233.75x = 613,291,782,044.83
  5. Step 5: Solve for x
    x = 613,291,782,044.83/872,233.75
  6. Step 6: Final answer
    x = 703,127.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.