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Finding the Fourth Proportional to 473,171.30, 653,210.52 and 291,983.01

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Solution

The fourth proportional to 473,171.30, 653,210.52 and 291,983.01 is: 403,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,171.30 : 653,210.52 = 291,983.01 : x
  2. Step 2: Convert to fraction form
    473,171.30/653,210.52 = 291,983.01/x
  3. Step 3: Cross multiply
    473,171.30x = 653,210.52 × 291,983.01
  4. Step 4: Simplify right side
    473,171.30x = 190,726,373,793.27
  5. Step 5: Solve for x
    x = 190,726,373,793.27/473,171.30
  6. Step 6: Final answer
    x = 403,081.03

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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.