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Finding the Fourth Proportional to 702,047.92, 968,518.38 and 411,512.20

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Solution

The fourth proportional to 702,047.92, 968,518.38 and 411,512.20 is: 567,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,047.92 : 968,518.38 = 411,512.20 : x
  2. Step 2: Convert to fraction form
    702,047.92/968,518.38 = 411,512.20/x
  3. Step 3: Cross multiply
    702,047.92x = 968,518.38 × 411,512.20
  4. Step 4: Simplify right side
    702,047.92x = 398,557,129,294.24
  5. Step 5: Solve for x
    x = 398,557,129,294.24/702,047.92
  6. Step 6: Final answer
    x = 567,706.45

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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.