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Finding the Fourth Proportional to 610,224.50, 842,109.76 and 338,291.71

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Solution

The fourth proportional to 610,224.50, 842,109.76 and 338,291.71 is: 466,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,224.50 : 842,109.76 = 338,291.71 : x
  2. Step 2: Convert to fraction form
    610,224.50/842,109.76 = 338,291.71/x
  3. Step 3: Cross multiply
    610,224.50x = 842,109.76 × 338,291.71
  4. Step 4: Simplify right side
    610,224.50x = 284,878,750,718.09
  5. Step 5: Solve for x
    x = 284,878,750,718.09/610,224.50
  6. Step 6: Final answer
    x = 466,842.53

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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.