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Finding the Fourth Proportional to 610,642.64, 916,047.12 and 211,176.20

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Solution

The fourth proportional to 610,642.64, 916,047.12 and 211,176.20 is: 316,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,642.64 : 916,047.12 = 211,176.20 : x
  2. Step 2: Convert to fraction form
    610,642.64/916,047.12 = 211,176.20/x
  3. Step 3: Cross multiply
    610,642.64x = 916,047.12 × 211,176.20
  4. Step 4: Simplify right side
    610,642.64x = 193,447,349,822.54
  5. Step 5: Solve for x
    x = 193,447,349,822.54/610,642.64
  6. Step 6: Final answer
    x = 316,793.06

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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.