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Finding the Fourth Proportional to 585,496.31, 808,207.86 and 381,596.82

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Solution

The fourth proportional to 585,496.31, 808,207.86 and 381,596.82 is: 526,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,496.31 : 808,207.86 = 381,596.82 : x
  2. Step 2: Convert to fraction form
    585,496.31/808,207.86 = 381,596.82/x
  3. Step 3: Cross multiply
    585,496.31x = 808,207.86 × 381,596.82
  4. Step 4: Simplify right side
    585,496.31x = 308,409,549,275.01
  5. Step 5: Solve for x
    x = 308,409,549,275.01/585,496.31
  6. Step 6: Final answer
    x = 526,748.93

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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.