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Finding the Fourth Proportional to 328,225.60, 492,046.80 and 194,964.40

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Solution

The fourth proportional to 328,225.60, 492,046.80 and 194,964.40 is: 292,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,225.60 : 492,046.80 = 194,964.40 : x
  2. Step 2: Convert to fraction form
    328,225.60/492,046.80 = 194,964.40/x
  3. Step 3: Cross multiply
    328,225.60x = 492,046.80 × 194,964.40
  4. Step 4: Simplify right side
    328,225.60x = 95,931,609,133.92
  5. Step 5: Solve for x
    x = 95,931,609,133.92/328,225.60
  6. Step 6: Final answer
    x = 292,273.39

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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.