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Finding the Fourth Proportional to 702,938.13, 970,059.23 and 380,648.24

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Solution

The fourth proportional to 702,938.13, 970,059.23 and 380,648.24 is: 525,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,938.13 : 970,059.23 = 380,648.24 : x
  2. Step 2: Convert to fraction form
    702,938.13/970,059.23 = 380,648.24/x
  3. Step 3: Cross multiply
    702,938.13x = 970,059.23 × 380,648.24
  4. Step 4: Simplify right side
    702,938.13x = 369,251,338,595.26
  5. Step 5: Solve for x
    x = 369,251,338,595.26/702,938.13
  6. Step 6: Final answer
    x = 525,297.07

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Double scale
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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.