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Finding the Fourth Proportional to 872,234.25, 1,203,506.85 and 509,588.08

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Solution

The fourth proportional to 872,234.25, 1,203,506.85 and 509,588.08 is: 703,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,234.25 : 1,203,506.85 = 509,588.08 : x
  2. Step 2: Convert to fraction form
    872,234.25/1,203,506.85 = 509,588.08/x
  3. Step 3: Cross multiply
    872,234.25x = 1,203,506.85 × 509,588.08
  4. Step 4: Simplify right side
    872,234.25x = 613,292,736,392.87
  5. Step 5: Solve for x
    x = 613,292,736,392.87/872,234.25
  6. Step 6: Final answer
    x = 703,128.47

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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.