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Finding the Fourth Proportional to 308,841.40, 463,043.40 and 140,442.40

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Solution

The fourth proportional to 308,841.40, 463,043.40 and 140,442.40 is: 210,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,841.40 : 463,043.40 = 140,442.40 : x
  2. Step 2: Convert to fraction form
    308,841.40/463,043.40 = 140,442.40/x
  3. Step 3: Cross multiply
    308,841.40x = 463,043.40 × 140,442.40
  4. Step 4: Simplify right side
    308,841.40x = 65,030,926,400.16
  5. Step 5: Solve for x
    x = 65,030,926,400.16/308,841.40
  6. Step 6: Final answer
    x = 210,564.15

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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.