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Finding the Fourth Proportional to 367,559.64, 507,342.42 and 214,639.20

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Solution

The fourth proportional to 367,559.64, 507,342.42 and 214,639.20 is: 296,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,559.64 : 507,342.42 = 214,639.20 : x
  2. Step 2: Convert to fraction form
    367,559.64/507,342.42 = 214,639.20/x
  3. Step 3: Cross multiply
    367,559.64x = 507,342.42 × 214,639.20
  4. Step 4: Simplify right side
    367,559.64x = 108,895,571,154.86
  5. Step 5: Solve for x
    x = 108,895,571,154.86/367,559.64
  6. Step 6: Final answer
    x = 296,266.40

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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.