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Finding the Fourth Proportional to 657,834.30, 986,751.45 and 342,906.30

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Solution

The fourth proportional to 657,834.30, 986,751.45 and 342,906.30 is: 514,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,834.30 : 986,751.45 = 342,906.30 : x
  2. Step 2: Convert to fraction form
    657,834.30/986,751.45 = 342,906.30/x
  3. Step 3: Cross multiply
    657,834.30x = 986,751.45 × 342,906.30
  4. Step 4: Simplify right side
    657,834.30x = 338,363,288,739.14
  5. Step 5: Solve for x
    x = 338,363,288,739.14/657,834.30
  6. Step 6: Final answer
    x = 514,359.45

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.