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Finding the Fourth Proportional to 652,892.40, 978,944.94 and 298,204.74

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Solution

The fourth proportional to 652,892.40, 978,944.94 and 298,204.74 is: 447,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,892.40 : 978,944.94 = 298,204.74 : x
  2. Step 2: Convert to fraction form
    652,892.40/978,944.94 = 298,204.74/x
  3. Step 3: Cross multiply
    652,892.40x = 978,944.94 × 298,204.74
  4. Step 4: Simplify right side
    652,892.40x = 291,926,021,307.02
  5. Step 5: Solve for x
    x = 291,926,021,307.02/652,892.40
  6. Step 6: Final answer
    x = 447,127.31

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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.