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Finding the Fourth Proportional to 535,264.88, 802,947 and 382,032.32

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Solution

The fourth proportional to 535,264.88, 802,947 and 382,032.32 is: 573,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,264.88 : 802,947 = 382,032.32 : x
  2. Step 2: Convert to fraction form
    535,264.88/802,947 = 382,032.32/x
  3. Step 3: Cross multiply
    535,264.88x = 802,947 × 382,032.32
  4. Step 4: Simplify right side
    535,264.88x = 306,751,705,247.04
  5. Step 5: Solve for x
    x = 306,751,705,247.04/535,264.88
  6. Step 6: Final answer
    x = 573,083.94

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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.