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Finding the Fourth Proportional to 463,943.69, 695,706.40 and 164,356.13

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Solution

The fourth proportional to 463,943.69, 695,706.40 and 164,356.13 is: 246,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,943.69 : 695,706.40 = 164,356.13 : x
  2. Step 2: Convert to fraction form
    463,943.69/695,706.40 = 164,356.13/x
  3. Step 3: Cross multiply
    463,943.69x = 695,706.40 × 164,356.13
  4. Step 4: Simplify right side
    463,943.69x = 114,343,608,226.57
  5. Step 5: Solve for x
    x = 114,343,608,226.57/463,943.69
  6. Step 6: Final answer
    x = 246,460.10

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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.