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Finding the Fourth Proportional to 212,731.60, 319,097.40 and 207,482.80

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Solution

The fourth proportional to 212,731.60, 319,097.40 and 207,482.80 is: 311,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,731.60 : 319,097.40 = 207,482.80 : x
  2. Step 2: Convert to fraction form
    212,731.60/319,097.40 = 207,482.80/x
  3. Step 3: Cross multiply
    212,731.60x = 319,097.40 × 207,482.80
  4. Step 4: Simplify right side
    212,731.60x = 66,207,222,024.72
  5. Step 5: Solve for x
    x = 66,207,222,024.72/212,731.60
  6. Step 6: Final answer
    x = 311,224.20

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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.