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Finding the Fourth Proportional to 360,178.16, 540,097.68 and 210,461.68

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Solution

The fourth proportional to 360,178.16, 540,097.68 and 210,461.68 is: 315,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,178.16 : 540,097.68 = 210,461.68 : x
  2. Step 2: Convert to fraction form
    360,178.16/540,097.68 = 210,461.68/x
  3. Step 3: Cross multiply
    360,178.16x = 540,097.68 × 210,461.68
  4. Step 4: Simplify right side
    360,178.16x = 113,669,862,396.41
  5. Step 5: Solve for x
    x = 113,669,862,396.41/360,178.16
  6. Step 6: Final answer
    x = 315,593.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.