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Finding the Fourth Proportional to 463,686.86, 695,329.74 and 160,113.03

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Solution

The fourth proportional to 463,686.86, 695,329.74 and 160,113.03 is: 240,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,686.86 : 695,329.74 = 160,113.03 : x
  2. Step 2: Convert to fraction form
    463,686.86/695,329.74 = 160,113.03/x
  3. Step 3: Cross multiply
    463,686.86x = 695,329.74 × 160,113.03
  4. Step 4: Simplify right side
    463,686.86x = 111,331,351,520.51
  5. Step 5: Solve for x
    x = 111,331,351,520.51/463,686.86
  6. Step 6: Final answer
    x = 240,100.29

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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.