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Finding the Fourth Proportional to 468,086.40, 701,870.40 and 201,801.60

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Solution

The fourth proportional to 468,086.40, 701,870.40 and 201,801.60 is: 302,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,086.40 : 701,870.40 = 201,801.60 : x
  2. Step 2: Convert to fraction form
    468,086.40/701,870.40 = 201,801.60/x
  3. Step 3: Cross multiply
    468,086.40x = 701,870.40 × 201,801.60
  4. Step 4: Simplify right side
    468,086.40x = 141,638,569,712.64
  5. Step 5: Solve for x
    x = 141,638,569,712.64/468,086.40
  6. Step 6: Final answer
    x = 302,590.65

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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.