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Finding the Fourth Proportional to 719,705.76, 1,079,598 and 299,024.16

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Solution

The fourth proportional to 719,705.76, 1,079,598 and 299,024.16 is: 448,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,705.76 : 1,079,598 = 299,024.16 : x
  2. Step 2: Convert to fraction form
    719,705.76/1,079,598 = 299,024.16/x
  3. Step 3: Cross multiply
    719,705.76x = 1,079,598 × 299,024.16
  4. Step 4: Simplify right side
    719,705.76x = 322,825,885,087.68
  5. Step 5: Solve for x
    x = 322,825,885,087.68/719,705.76
  6. Step 6: Final answer
    x = 448,552.59

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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.