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Finding the Fourth Proportional to 463,935.40, 695,999.10 and 264,351.40

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Solution

The fourth proportional to 463,935.40, 695,999.10 and 264,351.40 is: 396,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,935.40 : 695,999.10 = 264,351.40 : x
  2. Step 2: Convert to fraction form
    463,935.40/695,999.10 = 264,351.40/x
  3. Step 3: Cross multiply
    463,935.40x = 695,999.10 × 264,351.40
  4. Step 4: Simplify right side
    463,935.40x = 183,988,336,483.74
  5. Step 5: Solve for x
    x = 183,988,336,483.74/463,935.40
  6. Step 6: Final answer
    x = 396,581.80

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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.