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Finding the Fourth Proportional to 463,699.66, 695,421 and 164,140.80

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Solution

The fourth proportional to 463,699.66, 695,421 and 164,140.80 is: 246,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,699.66 : 695,421 = 164,140.80 : x
  2. Step 2: Convert to fraction form
    463,699.66/695,421 = 164,140.80/x
  3. Step 3: Cross multiply
    463,699.66x = 695,421 × 164,140.80
  4. Step 4: Simplify right side
    463,699.66x = 114,146,959,276.80
  5. Step 5: Solve for x
    x = 114,146,959,276.80/463,699.66
  6. Step 6: Final answer
    x = 246,165.72

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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.