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Finding the Fourth Proportional to 295,643.60, 443,465.40 and 201,165.20

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Solution

The fourth proportional to 295,643.60, 443,465.40 and 201,165.20 is: 301,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,643.60 : 443,465.40 = 201,165.20 : x
  2. Step 2: Convert to fraction form
    295,643.60/443,465.40 = 201,165.20/x
  3. Step 3: Cross multiply
    295,643.60x = 443,465.40 × 201,165.20
  4. Step 4: Simplify right side
    295,643.60x = 89,209,805,884.08
  5. Step 5: Solve for x
    x = 89,209,805,884.08/295,643.60
  6. Step 6: Final answer
    x = 301,747.80

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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.