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Finding the Fourth Proportional to 297,971.71, 411,199.59 and 175,535.25

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Solution

The fourth proportional to 297,971.71, 411,199.59 and 175,535.25 is: 242,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,971.71 : 411,199.59 = 175,535.25 : x
  2. Step 2: Convert to fraction form
    297,971.71/411,199.59 = 175,535.25/x
  3. Step 3: Cross multiply
    297,971.71x = 411,199.59 × 175,535.25
  4. Step 4: Simplify right side
    297,971.71x = 72,180,023,272.42
  5. Step 5: Solve for x
    x = 72,180,023,272.42/297,971.71
  6. Step 6: Final answer
    x = 242,237.84

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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.