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Finding the Fourth Proportional to 295,643.40, 443,465.10 and 74,027.40

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Solution

The fourth proportional to 295,643.40, 443,465.10 and 74,027.40 is: 111,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,643.40 : 443,465.10 = 74,027.40 : x
  2. Step 2: Convert to fraction form
    295,643.40/443,465.10 = 74,027.40/x
  3. Step 3: Cross multiply
    295,643.40x = 443,465.10 × 74,027.40
  4. Step 4: Simplify right side
    295,643.40x = 32,828,568,343.74
  5. Step 5: Solve for x
    x = 32,828,568,343.74/295,643.40
  6. Step 6: Final answer
    x = 111,041.10

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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.