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Finding the Fourth Proportional to 702,914.10, 970,026.08 and 380,624.23

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Solution

The fourth proportional to 702,914.10, 970,026.08 and 380,624.23 is: 525,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,914.10 : 970,026.08 = 380,624.23 : x
  2. Step 2: Convert to fraction form
    702,914.10/970,026.08 = 380,624.23/x
  3. Step 3: Cross multiply
    702,914.10x = 970,026.08 × 380,624.23
  4. Step 4: Simplify right side
    702,914.10x = 369,215,427,138.03
  5. Step 5: Solve for x
    x = 369,215,427,138.03/702,914.10
  6. Step 6: Final answer
    x = 525,263.94

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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.