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Finding the Fourth Proportional to 463,670.30, 695,332.65 and 164,035.10

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Solution

The fourth proportional to 463,670.30, 695,332.65 and 164,035.10 is: 245,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,670.30 : 695,332.65 = 164,035.10 : x
  2. Step 2: Convert to fraction form
    463,670.30/695,332.65 = 164,035.10/x
  3. Step 3: Cross multiply
    463,670.30x = 695,332.65 × 164,035.10
  4. Step 4: Simplify right side
    463,670.30x = 114,058,960,776.02
  5. Step 5: Solve for x
    x = 114,058,960,776.02/463,670.30
  6. Step 6: Final answer
    x = 245,991.52

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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.