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Finding the Fourth Proportional to 381,627.60, 526,648.44 and 209,553

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Solution

The fourth proportional to 381,627.60, 526,648.44 and 209,553 is: 289,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,627.60 : 526,648.44 = 209,553 : x
  2. Step 2: Convert to fraction form
    381,627.60/526,648.44 = 209,553/x
  3. Step 3: Cross multiply
    381,627.60x = 526,648.44 × 209,553
  4. Step 4: Simplify right side
    381,627.60x = 110,360,760,547.32
  5. Step 5: Solve for x
    x = 110,360,760,547.32/381,627.60
  6. Step 6: Final answer
    x = 289,184.43

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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.