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Finding the Fourth Proportional to 872,234.75, 1,203,507.54 and 509,588.57

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Solution

The fourth proportional to 872,234.75, 1,203,507.54 and 509,588.57 is: 703,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,234.75 : 1,203,507.54 = 509,588.57 : x
  2. Step 2: Convert to fraction form
    872,234.75/1,203,507.54 = 509,588.57/x
  3. Step 3: Cross multiply
    872,234.75x = 1,203,507.54 × 509,588.57
  4. Step 4: Simplify right side
    872,234.75x = 613,293,686,292.82
  5. Step 5: Solve for x
    x = 613,293,686,292.82/872,234.75
  6. Step 6: Final answer
    x = 703,129.16

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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.