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Finding the Fourth Proportional to 543,785.86, 750,438.12 and 302,056.84

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Solution

The fourth proportional to 543,785.86, 750,438.12 and 302,056.84 is: 416,846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,785.86 : 750,438.12 = 302,056.84 : x
  2. Step 2: Convert to fraction form
    543,785.86/750,438.12 = 302,056.84/x
  3. Step 3: Cross multiply
    543,785.86x = 750,438.12 × 302,056.84
  4. Step 4: Simplify right side
    543,785.86x = 226,674,967,142.74
  5. Step 5: Solve for x
    x = 226,674,967,142.74/543,785.86
  6. Step 6: Final answer
    x = 416,846.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.