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Finding the Fourth Proportional to 562,219.70, 775,864.13 and 332,961.93

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Solution

The fourth proportional to 562,219.70, 775,864.13 and 332,961.93 is: 459,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,219.70 : 775,864.13 = 332,961.93 : x
  2. Step 2: Convert to fraction form
    562,219.70/775,864.13 = 332,961.93/x
  3. Step 3: Cross multiply
    562,219.70x = 775,864.13 × 332,961.93
  4. Step 4: Simplify right side
    562,219.70x = 258,333,216,477.76
  5. Step 5: Solve for x
    x = 258,333,216,477.76/562,219.70
  6. Step 6: Final answer
    x = 459,488.02

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Why These Related Problems?

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