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Finding the Fourth Proportional to 367,002.77, 506,464.65 and 214,146.05

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Solution

The fourth proportional to 367,002.77, 506,464.65 and 214,146.05 is: 295,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,002.77 : 506,464.65 = 214,146.05 : x
  2. Step 2: Convert to fraction form
    367,002.77/506,464.65 = 214,146.05/x
  3. Step 3: Cross multiply
    367,002.77x = 506,464.65 × 214,146.05
  4. Step 4: Simplify right side
    367,002.77x = 108,457,401,729.81
  5. Step 5: Solve for x
    x = 108,457,401,729.81/367,002.77
  6. Step 6: Final answer
    x = 295,522.03

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1.5x scale

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.