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Finding the Fourth Proportional to 585,495.80, 808,207.16 and 381,596.32

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Solution

The fourth proportional to 585,495.80, 808,207.16 and 381,596.32 is: 526,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,495.80 : 808,207.16 = 381,596.32 : x
  2. Step 2: Convert to fraction form
    585,495.80/808,207.16 = 381,596.32/x
  3. Step 3: Cross multiply
    585,495.80x = 808,207.16 × 381,596.32
  4. Step 4: Simplify right side
    585,495.80x = 308,408,878,053.65
  5. Step 5: Solve for x
    x = 308,408,878,053.65/585,495.80
  6. Step 6: Final answer
    x = 526,748.23

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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.