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Finding the Fourth Proportional to 516,878.98, 713,188.48 and 301,977.53

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Solution

The fourth proportional to 516,878.98, 713,188.48 and 301,977.53 is: 416,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,878.98 : 713,188.48 = 301,977.53 : x
  2. Step 2: Convert to fraction form
    516,878.98/713,188.48 = 301,977.53/x
  3. Step 3: Cross multiply
    516,878.98x = 713,188.48 × 301,977.53
  4. Step 4: Simplify right side
    516,878.98x = 215,366,892,322.00
  5. Step 5: Solve for x
    x = 215,366,892,322.00/516,878.98
  6. Step 6: Final answer
    x = 416,667.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.