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Finding the Fourth Proportional to 872,078.50, 1,203,197.86 and 509,240.62

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Solution

The fourth proportional to 872,078.50, 1,203,197.86 and 509,240.62 is: 702,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,078.50 : 1,203,197.86 = 509,240.62 : x
  2. Step 2: Convert to fraction form
    872,078.50/1,203,197.86 = 509,240.62/x
  3. Step 3: Cross multiply
    872,078.50x = 1,203,197.86 × 509,240.62
  4. Step 4: Simplify right side
    872,078.50x = 612,717,224,209.07
  5. Step 5: Solve for x
    x = 612,717,224,209.07/872,078.50
  6. Step 6: Final answer
    x = 702,594.12

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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.