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Finding the Fourth Proportional to 476,039.22, 714,061.28 and 160,498.86

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Solution

The fourth proportional to 476,039.22, 714,061.28 and 160,498.86 is: 240,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,039.22 : 714,061.28 = 160,498.86 : x
  2. Step 2: Convert to fraction form
    476,039.22/714,061.28 = 160,498.86/x
  3. Step 3: Cross multiply
    476,039.22x = 714,061.28 × 160,498.86
  4. Step 4: Simplify right side
    476,039.22x = 114,606,021,410.14
  5. Step 5: Solve for x
    x = 114,606,021,410.14/476,039.22
  6. Step 6: Final answer
    x = 240,749.12

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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.