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Finding the Fourth Proportional to 470,095.25, 705,423.07 and 170,599.24

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Solution

The fourth proportional to 470,095.25, 705,423.07 and 170,599.24 is: 256,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,095.25 : 705,423.07 = 170,599.24 : x
  2. Step 2: Convert to fraction form
    470,095.25/705,423.07 = 170,599.24/x
  3. Step 3: Cross multiply
    470,095.25x = 705,423.07 × 170,599.24
  4. Step 4: Simplify right side
    470,095.25x = 120,344,636,093.35
  5. Step 5: Solve for x
    x = 120,344,636,093.35/470,095.25
  6. Step 6: Final answer
    x = 256,000.54

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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.