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Finding the Fourth Proportional to 397,470.80, 596,205.60 and 160,815.32

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Solution

The fourth proportional to 397,470.80, 596,205.60 and 160,815.32 is: 241,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,470.80 : 596,205.60 = 160,815.32 : x
  2. Step 2: Convert to fraction form
    397,470.80/596,205.60 = 160,815.32/x
  3. Step 3: Cross multiply
    397,470.80x = 596,205.60 × 160,815.32
  4. Step 4: Simplify right side
    397,470.80x = 95,878,994,349.79
  5. Step 5: Solve for x
    x = 95,878,994,349.79/397,470.80
  6. Step 6: Final answer
    x = 241,222.74

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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.