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Finding the Fourth Proportional to 562,056.17, 775,590.71 and 317,027.43

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Solution

The fourth proportional to 562,056.17, 775,590.71 and 317,027.43 is: 437,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,056.17 : 775,590.71 = 317,027.43 : x
  2. Step 2: Convert to fraction form
    562,056.17/775,590.71 = 317,027.43/x
  3. Step 3: Cross multiply
    562,056.17x = 775,590.71 × 317,027.43
  4. Step 4: Simplify right side
    562,056.17x = 245,883,527,938.04
  5. Step 5: Solve for x
    x = 245,883,527,938.04/562,056.17
  6. Step 6: Final answer
    x = 437,471.45

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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.