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Finding the Fourth Proportional to 702,911.30, 970,016.23 and 380,622.35

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Solution

The fourth proportional to 702,911.30, 970,016.23 and 380,622.35 is: 525,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,911.30 : 970,016.23 = 380,622.35 : x
  2. Step 2: Convert to fraction form
    702,911.30/970,016.23 = 380,622.35/x
  3. Step 3: Cross multiply
    702,911.30x = 970,016.23 × 380,622.35
  4. Step 4: Simplify right side
    702,911.30x = 369,209,857,000.74
  5. Step 5: Solve for x
    x = 369,209,857,000.74/702,911.30
  6. Step 6: Final answer
    x = 525,258.10

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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.