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Finding the Fourth Proportional to 463,670.29, 695,552.63 and 160,024.93

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Solution

The fourth proportional to 463,670.29, 695,552.63 and 160,024.93 is: 240,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,670.29 : 695,552.63 = 160,024.93 : x
  2. Step 2: Convert to fraction form
    463,670.29/695,552.63 = 160,024.93/x
  3. Step 3: Cross multiply
    463,670.29x = 695,552.63 × 160,024.93
  4. Step 4: Simplify right side
    463,670.29x = 111,305,756,649.18
  5. Step 5: Solve for x
    x = 111,305,756,649.18/463,670.29
  6. Step 6: Final answer
    x = 240,053.68

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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.