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Finding the Fourth Proportional to 289,064.19, 398,909.13 and 160,011.60

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Solution

The fourth proportional to 289,064.19, 398,909.13 and 160,011.60 is: 220,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,064.19 : 398,909.13 = 160,011.60 : x
  2. Step 2: Convert to fraction form
    289,064.19/398,909.13 = 160,011.60/x
  3. Step 3: Cross multiply
    289,064.19x = 398,909.13 × 160,011.60
  4. Step 4: Simplify right side
    289,064.19x = 63,830,088,145.91
  5. Step 5: Solve for x
    x = 63,830,088,145.91/289,064.19
  6. Step 6: Final answer
    x = 220,816.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.