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Finding the Fourth Proportional to 610,224.24, 842,109.43 and 338,291.45

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Solution

The fourth proportional to 610,224.24, 842,109.43 and 338,291.45 is: 466,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,224.24 : 842,109.43 = 338,291.45 : x
  2. Step 2: Convert to fraction form
    610,224.24/842,109.43 = 338,291.45/x
  3. Step 3: Cross multiply
    610,224.24x = 842,109.43 × 338,291.45
  4. Step 4: Simplify right side
    610,224.24x = 284,878,420,133.37
  5. Step 5: Solve for x
    x = 284,878,420,133.37/610,224.24
  6. Step 6: Final answer
    x = 466,842.19

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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.