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Finding the Fourth Proportional to 459,894.78, 689,934.44 and 160,294.93

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Solution

The fourth proportional to 459,894.78, 689,934.44 and 160,294.93 is: 240,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,894.78 : 689,934.44 = 160,294.93 : x
  2. Step 2: Convert to fraction form
    459,894.78/689,934.44 = 160,294.93/x
  3. Step 3: Cross multiply
    459,894.78x = 689,934.44 × 160,294.93
  4. Step 4: Simplify right side
    459,894.78x = 110,592,991,440.29
  5. Step 5: Solve for x
    x = 110,592,991,440.29/459,894.78
  6. Step 6: Final answer
    x = 240,474.55

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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.