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Finding the Fourth Proportional to 968,661.84, 1,452,978.12 and 435,806.64

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Solution

The fourth proportional to 968,661.84, 1,452,978.12 and 435,806.64 is: 653,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,661.84 : 1,452,978.12 = 435,806.64 : x
  2. Step 2: Convert to fraction form
    968,661.84/1,452,978.12 = 435,806.64/x
  3. Step 3: Cross multiply
    968,661.84x = 1,452,978.12 × 435,806.64
  4. Step 4: Simplify right side
    968,661.84x = 633,217,512,470.72
  5. Step 5: Solve for x
    x = 633,217,512,470.72/968,661.84
  6. Step 6: Final answer
    x = 653,703.37

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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.