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Finding the Fourth Proportional to 289,184.42, 399,070.59 and 161,859.98

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Solution

The fourth proportional to 289,184.42, 399,070.59 and 161,859.98 is: 223,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,184.42 : 399,070.59 = 161,859.98 : x
  2. Step 2: Convert to fraction form
    289,184.42/399,070.59 = 161,859.98/x
  3. Step 3: Cross multiply
    289,184.42x = 399,070.59 × 161,859.98
  4. Step 4: Simplify right side
    289,184.42x = 64,593,557,715.99
  5. Step 5: Solve for x
    x = 64,593,557,715.99/289,184.42
  6. Step 6: Final answer
    x = 223,364.58

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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.