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Finding the Fourth Proportional to 367,152.30, 506,674.35 and 214,185.42

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Solution

The fourth proportional to 367,152.30, 506,674.35 and 214,185.42 is: 295,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,152.30 : 506,674.35 = 214,185.42 : x
  2. Step 2: Convert to fraction form
    367,152.30/506,674.35 = 214,185.42/x
  3. Step 3: Cross multiply
    367,152.30x = 506,674.35 × 214,185.42
  4. Step 4: Simplify right side
    367,152.30x = 108,522,258,457.98
  5. Step 5: Solve for x
    x = 108,522,258,457.98/367,152.30
  6. Step 6: Final answer
    x = 295,578.32

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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.