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Finding the Fourth Proportional to 653,919.14, 902,489.04 and 367,433

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Solution

The fourth proportional to 653,919.14, 902,489.04 and 367,433 is: 507,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,919.14 : 902,489.04 = 367,433 : x
  2. Step 2: Convert to fraction form
    653,919.14/902,489.04 = 367,433/x
  3. Step 3: Cross multiply
    653,919.14x = 902,489.04 × 367,433
  4. Step 4: Simplify right side
    653,919.14x = 331,604,255,434.32
  5. Step 5: Solve for x
    x = 331,604,255,434.32/653,919.14
  6. Step 6: Final answer
    x = 507,102.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.