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Finding the Fourth Proportional to 713,024.75, 1,068,817.04 and 446,971.75

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Solution

The fourth proportional to 713,024.75, 1,068,817.04 and 446,971.75 is: 670,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,024.75 : 1,068,817.04 = 446,971.75 : x
  2. Step 2: Convert to fraction form
    713,024.75/1,068,817.04 = 446,971.75/x
  3. Step 3: Cross multiply
    713,024.75x = 1,068,817.04 × 446,971.75
  4. Step 4: Simplify right side
    713,024.75x = 477,731,019,567.86
  5. Step 5: Solve for x
    x = 477,731,019,567.86/713,024.75
  6. Step 6: Final answer
    x = 670,006.22

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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.