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Finding the Fourth Proportional to 504,906.16, 696,751.32 and 313,875.76

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Solution

The fourth proportional to 504,906.16, 696,751.32 and 313,875.76 is: 433,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,906.16 : 696,751.32 = 313,875.76 : x
  2. Step 2: Convert to fraction form
    504,906.16/696,751.32 = 313,875.76/x
  3. Step 3: Cross multiply
    504,906.16x = 696,751.32 × 313,875.76
  4. Step 4: Simplify right side
    504,906.16x = 218,693,350,096.00
  5. Step 5: Solve for x
    x = 218,693,350,096.00/504,906.16
  6. Step 6: Final answer
    x = 433,136.63

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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.