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Finding the Fourth Proportional to 296,495.80, 409,159.29 and 160,528.66

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Solution

The fourth proportional to 296,495.80, 409,159.29 and 160,528.66 is: 221,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,495.80 : 409,159.29 = 160,528.66 : x
  2. Step 2: Convert to fraction form
    296,495.80/409,159.29 = 160,528.66/x
  3. Step 3: Cross multiply
    296,495.80x = 409,159.29 × 160,528.66
  4. Step 4: Simplify right side
    296,495.80x = 65,681,792,550.25
  5. Step 5: Solve for x
    x = 65,681,792,550.25/296,495.80
  6. Step 6: Final answer
    x = 221,526.89

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1.5x scale

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.