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Finding the Fourth Proportional to 212,780.80, 319,430.40 and 211,225.60

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Solution

The fourth proportional to 212,780.80, 319,430.40 and 211,225.60 is: 317,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,780.80 : 319,430.40 = 211,225.60 : x
  2. Step 2: Convert to fraction form
    212,780.80/319,430.40 = 211,225.60/x
  3. Step 3: Cross multiply
    212,780.80x = 319,430.40 × 211,225.60
  4. Step 4: Simplify right side
    212,780.80x = 67,471,877,898.24
  5. Step 5: Solve for x
    x = 67,471,877,898.24/212,780.80
  6. Step 6: Final answer
    x = 317,095.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.