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Finding the Fourth Proportional to 328,197.60, 492,296.40 and 314,200.80

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Solution

The fourth proportional to 328,197.60, 492,296.40 and 314,200.80 is: 471,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,197.60 : 492,296.40 = 314,200.80 : x
  2. Step 2: Convert to fraction form
    328,197.60/492,296.40 = 314,200.80/x
  3. Step 3: Cross multiply
    328,197.60x = 492,296.40 × 314,200.80
  4. Step 4: Simplify right side
    328,197.60x = 154,679,922,717.12
  5. Step 5: Solve for x
    x = 154,679,922,717.12/328,197.60
  6. Step 6: Final answer
    x = 471,301.20

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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.