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Finding the Fourth Proportional to 506,718.74, 760,078.10 and 411,834.38

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Solution

The fourth proportional to 506,718.74, 760,078.10 and 411,834.38 is: 617,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,718.74 : 760,078.10 = 411,834.38 : x
  2. Step 2: Convert to fraction form
    506,718.74/760,078.10 = 411,834.38/x
  3. Step 3: Cross multiply
    506,718.74x = 760,078.10 × 411,834.38
  4. Step 4: Simplify right side
    506,718.74x = 313,026,287,205.52
  5. Step 5: Solve for x
    x = 313,026,287,205.52/506,718.74
  6. Step 6: Final answer
    x = 617,751.56

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Similar ratio
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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.