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Finding the Fourth Proportional to 463,971, 695,458.98 and 303,986.52

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Solution

The fourth proportional to 463,971, 695,458.98 and 303,986.52 is: 455,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,971 : 695,458.98 = 303,986.52 : x
  2. Step 2: Convert to fraction form
    463,971/695,458.98 = 303,986.52/x
  3. Step 3: Cross multiply
    463,971x = 695,458.98 × 303,986.52
  4. Step 4: Simplify right side
    463,971x = 211,410,155,132.95
  5. Step 5: Solve for x
    x = 211,410,155,132.95/463,971
  6. Step 6: Final answer
    x = 455,653.81

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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.