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Finding the Fourth Proportional to 384,154.65, 530,186.85 and 214,399.71

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Solution

The fourth proportional to 384,154.65, 530,186.85 and 214,399.71 is: 295,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,154.65 : 530,186.85 = 214,399.71 : x
  2. Step 2: Convert to fraction form
    384,154.65/530,186.85 = 214,399.71/x
  3. Step 3: Cross multiply
    384,154.65x = 530,186.85 × 214,399.71
  4. Step 4: Simplify right side
    384,154.65x = 113,671,906,885.81
  5. Step 5: Solve for x
    x = 113,671,906,885.81/384,154.65
  6. Step 6: Final answer
    x = 295,901.42

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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.