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Finding the Fourth Proportional to 459,894.88, 689,592.16 and 160,295.04

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Solution

The fourth proportional to 459,894.88, 689,592.16 and 160,295.04 is: 240,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,894.88 : 689,592.16 = 160,295.04 : x
  2. Step 2: Convert to fraction form
    459,894.88/689,592.16 = 160,295.04/x
  3. Step 3: Cross multiply
    459,894.88x = 689,592.16 × 160,295.04
  4. Step 4: Simplify right side
    459,894.88x = 110,538,202,870.89
  5. Step 5: Solve for x
    x = 110,538,202,870.89/459,894.88
  6. Step 6: Final answer
    x = 240,355.37

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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.