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Finding the Fourth Proportional to 397,532.30, 596,989.65 and 210,908.30

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Solution

The fourth proportional to 397,532.30, 596,989.65 and 210,908.30 is: 316,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,532.30 : 596,989.65 = 210,908.30 : x
  2. Step 2: Convert to fraction form
    397,532.30/596,989.65 = 210,908.30/x
  3. Step 3: Cross multiply
    397,532.30x = 596,989.65 × 210,908.30
  4. Step 4: Simplify right side
    397,532.30x = 125,910,072,199.10
  5. Step 5: Solve for x
    x = 125,910,072,199.10/397,532.30
  6. Step 6: Final answer
    x = 316,729.16

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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.