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Finding the Fourth Proportional to 298,066.04, 447,296.02 and 140,339.60

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Solution

The fourth proportional to 298,066.04, 447,296.02 and 140,339.60 is: 210,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,066.04 : 447,296.02 = 140,339.60 : x
  2. Step 2: Convert to fraction form
    298,066.04/447,296.02 = 140,339.60/x
  3. Step 3: Cross multiply
    298,066.04x = 447,296.02 × 140,339.60
  4. Step 4: Simplify right side
    298,066.04x = 62,773,344,528.39
  5. Step 5: Solve for x
    x = 62,773,344,528.39/298,066.04
  6. Step 6: Final answer
    x = 210,602.14

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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.