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Finding the Fourth Proportional to 437,564.10, 656,346.15 and 437,564.10

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Solution

The fourth proportional to 437,564.10, 656,346.15 and 437,564.10 is: 656,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,564.10 : 656,346.15 = 437,564.10 : x
  2. Step 2: Convert to fraction form
    437,564.10/656,346.15 = 437,564.10/x
  3. Step 3: Cross multiply
    437,564.10x = 656,346.15 × 437,564.10
  4. Step 4: Simplify right side
    437,564.10x = 287,193,512,413.22
  5. Step 5: Solve for x
    x = 287,193,512,413.22/437,564.10
  6. Step 6: Final answer
    x = 656,346.15

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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.