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Finding the Fourth Proportional to 703,013.10, 970,146.09 and 380,720.58

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Solution

The fourth proportional to 703,013.10, 970,146.09 and 380,720.58 is: 525,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,013.10 : 970,146.09 = 380,720.58 : x
  2. Step 2: Convert to fraction form
    703,013.10/970,146.09 = 380,720.58/x
  3. Step 3: Cross multiply
    703,013.10x = 970,146.09 × 380,720.58
  4. Step 4: Simplify right side
    703,013.10x = 369,354,582,069.53
  5. Step 5: Solve for x
    x = 369,354,582,069.53/703,013.10
  6. Step 6: Final answer
    x = 525,387.91

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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.