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Finding the Fourth Proportional to 357,320.76, 493,333.38 and 221,499.16

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Solution

The fourth proportional to 357,320.76, 493,333.38 and 221,499.16 is: 305,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,320.76 : 493,333.38 = 221,499.16 : x
  2. Step 2: Convert to fraction form
    357,320.76/493,333.38 = 221,499.16/x
  3. Step 3: Cross multiply
    357,320.76x = 493,333.38 × 221,499.16
  4. Step 4: Simplify right side
    357,320.76x = 109,272,929,269.96
  5. Step 5: Solve for x
    x = 109,272,929,269.96/357,320.76
  6. Step 6: Final answer
    x = 305,811.87

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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.