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Finding the Fourth Proportional to 354,232.10, 531,002.55 and 316,907.30

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Solution

The fourth proportional to 354,232.10, 531,002.55 and 316,907.30 is: 475,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,232.10 : 531,002.55 = 316,907.30 : x
  2. Step 2: Convert to fraction form
    354,232.10/531,002.55 = 316,907.30/x
  3. Step 3: Cross multiply
    354,232.10x = 531,002.55 × 316,907.30
  4. Step 4: Simplify right side
    354,232.10x = 168,278,584,413.62
  5. Step 5: Solve for x
    x = 168,278,584,413.62/354,232.10
  6. Step 6: Final answer
    x = 475,051.77

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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.