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Finding the Fourth Proportional to 500,853.72, 751,280.58 and 303,447

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Solution

The fourth proportional to 500,853.72, 751,280.58 and 303,447 is: 455,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,853.72 : 751,280.58 = 303,447 : x
  2. Step 2: Convert to fraction form
    500,853.72/751,280.58 = 303,447/x
  3. Step 3: Cross multiply
    500,853.72x = 751,280.58 × 303,447
  4. Step 4: Simplify right side
    500,853.72x = 227,973,838,159.26
  5. Step 5: Solve for x
    x = 227,973,838,159.26/500,853.72
  6. Step 6: Final answer
    x = 455,170.50

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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.