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Finding the Fourth Proportional to 397,455.76, 596,281.08 and 326,498.32

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Solution

The fourth proportional to 397,455.76, 596,281.08 and 326,498.32 is: 489,827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,455.76 : 596,281.08 = 326,498.32 : x
  2. Step 2: Convert to fraction form
    397,455.76/596,281.08 = 326,498.32/x
  3. Step 3: Cross multiply
    397,455.76x = 596,281.08 × 326,498.32
  4. Step 4: Simplify right side
    397,455.76x = 194,684,770,867.79
  5. Step 5: Solve for x
    x = 194,684,770,867.79/397,455.76
  6. Step 6: Final answer
    x = 489,827.52

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1.5x scale

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.