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Finding the Fourth Proportional to 453,670.88, 680,085.65 and 200,816.55

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Solution

The fourth proportional to 453,670.88, 680,085.65 and 200,816.55 is: 301,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,670.88 : 680,085.65 = 200,816.55 : x
  2. Step 2: Convert to fraction form
    453,670.88/680,085.65 = 200,816.55/x
  3. Step 3: Cross multiply
    453,670.88x = 680,085.65 × 200,816.55
  4. Step 4: Simplify right side
    453,670.88x = 136,572,454,439.55
  5. Step 5: Solve for x
    x = 136,572,454,439.55/453,670.88
  6. Step 6: Final answer
    x = 301,038.62

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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.