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Finding the Fourth Proportional to 473,722.20, 653,728.70 and 258,857.32

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Solution

The fourth proportional to 473,722.20, 653,728.70 and 258,857.32 is: 357,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,722.20 : 653,728.70 = 258,857.32 : x
  2. Step 2: Convert to fraction form
    473,722.20/653,728.70 = 258,857.32/x
  3. Step 3: Cross multiply
    473,722.20x = 653,728.70 × 258,857.32
  4. Step 4: Simplify right side
    473,722.20x = 169,222,459,289.08
  5. Step 5: Solve for x
    x = 169,222,459,289.08/473,722.20
  6. Step 6: Final answer
    x = 357,218.77

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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.