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Finding the Fourth Proportional to 470,355.92, 705,592.20 and 154,922.48

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Solution

The fourth proportional to 470,355.92, 705,592.20 and 154,922.48 is: 232,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,355.92 : 705,592.20 = 154,922.48 : x
  2. Step 2: Convert to fraction form
    470,355.92/705,592.20 = 154,922.48/x
  3. Step 3: Cross multiply
    470,355.92x = 705,592.20 × 154,922.48
  4. Step 4: Simplify right side
    470,355.92x = 109,312,093,492.66
  5. Step 5: Solve for x
    x = 109,312,093,492.66/470,355.92
  6. Step 6: Final answer
    x = 232,402.93

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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.