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Finding the Fourth Proportional to 343,313.80, 513,933.90 and 301,841.80

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Solution

The fourth proportional to 343,313.80, 513,933.90 and 301,841.80 is: 451,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,313.80 : 513,933.90 = 301,841.80 : x
  2. Step 2: Convert to fraction form
    343,313.80/513,933.90 = 301,841.80/x
  3. Step 3: Cross multiply
    343,313.80x = 513,933.90 × 301,841.80
  4. Step 4: Simplify right side
    343,313.80x = 155,126,733,457.02
  5. Step 5: Solve for x
    x = 155,126,733,457.02/343,313.80
  6. Step 6: Final answer
    x = 451,851.14

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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.