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Finding the Fourth Proportional to 586,085.98, 808,924.26 and 381,772.33

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Solution

The fourth proportional to 586,085.98, 808,924.26 and 381,772.33 is: 526,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,085.98 : 808,924.26 = 381,772.33 : x
  2. Step 2: Convert to fraction form
    586,085.98/808,924.26 = 381,772.33/x
  3. Step 3: Cross multiply
    586,085.98x = 808,924.26 × 381,772.33
  4. Step 4: Simplify right side
    586,085.98x = 308,824,899,533.73
  5. Step 5: Solve for x
    x = 308,824,899,533.73/586,085.98
  6. Step 6: Final answer
    x = 526,927.64

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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.