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Finding the Fourth Proportional to 297,988.40, 411,225.64 and 162,023.68

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Solution

The fourth proportional to 297,988.40, 411,225.64 and 162,023.68 is: 223,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,988.40 : 411,225.64 = 162,023.68 : x
  2. Step 2: Convert to fraction form
    297,988.40/411,225.64 = 162,023.68/x
  3. Step 3: Cross multiply
    297,988.40x = 411,225.64 × 162,023.68
  4. Step 4: Simplify right side
    297,988.40x = 66,628,291,503.16
  5. Step 5: Solve for x
    x = 66,628,291,503.16/297,988.40
  6. Step 6: Final answer
    x = 223,593.57

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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.