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Finding the Fourth Proportional to 705,099.47, 973,097.51 and 399,229.74

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Solution

The fourth proportional to 705,099.47, 973,097.51 and 399,229.74 is: 550,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,099.47 : 973,097.51 = 399,229.74 : x
  2. Step 2: Convert to fraction form
    705,099.47/973,097.51 = 399,229.74/x
  3. Step 3: Cross multiply
    705,099.47x = 973,097.51 × 399,229.74
  4. Step 4: Simplify right side
    705,099.47x = 388,489,463,915.80
  5. Step 5: Solve for x
    x = 388,489,463,915.80/705,099.47
  6. Step 6: Final answer
    x = 550,971.15

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1.5x scale

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.