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Finding the Fourth Proportional to 340,041.40, 510,062.10 and 302,716.60

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Solution

The fourth proportional to 340,041.40, 510,062.10 and 302,716.60 is: 454,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,041.40 : 510,062.10 = 302,716.60 : x
  2. Step 2: Convert to fraction form
    340,041.40/510,062.10 = 302,716.60/x
  3. Step 3: Cross multiply
    340,041.40x = 510,062.10 × 302,716.60
  4. Step 4: Simplify right side
    340,041.40x = 154,404,264,700.86
  5. Step 5: Solve for x
    x = 154,404,264,700.86/340,041.40
  6. Step 6: Final answer
    x = 454,074.90

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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.