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Finding the Fourth Proportional to 287,894.04, 397,294.38 and 160,566.36

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Solution

The fourth proportional to 287,894.04, 397,294.38 and 160,566.36 is: 221,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.04 : 397,294.38 = 160,566.36 : x
  2. Step 2: Convert to fraction form
    287,894.04/397,294.38 = 160,566.36/x
  3. Step 3: Cross multiply
    287,894.04x = 397,294.38 × 160,566.36
  4. Step 4: Simplify right side
    287,894.04x = 63,792,112,445.06
  5. Step 5: Solve for x
    x = 63,792,112,445.06/287,894.04
  6. Step 6: Final answer
    x = 221,581.91

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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.