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Finding the Fourth Proportional to 703,064.53, 970,224.19 and 380,767.24

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Solution

The fourth proportional to 703,064.53, 970,224.19 and 380,767.24 is: 525,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,064.53 : 970,224.19 = 380,767.24 : x
  2. Step 2: Convert to fraction form
    703,064.53/970,224.19 = 380,767.24/x
  3. Step 3: Cross multiply
    703,064.53x = 970,224.19 × 380,767.24
  4. Step 4: Simplify right side
    703,064.53x = 369,429,587,007.54
  5. Step 5: Solve for x
    x = 369,429,587,007.54/703,064.53
  6. Step 6: Final answer
    x = 525,456.16

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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.