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Finding the Fourth Proportional to 506,776.82, 759,365.01 and 411,543.57

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Solution

The fourth proportional to 506,776.82, 759,365.01 and 411,543.57 is: 616,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,776.82 : 759,365.01 = 411,543.57 : x
  2. Step 2: Convert to fraction form
    506,776.82/759,365.01 = 411,543.57/x
  3. Step 3: Cross multiply
    506,776.82x = 759,365.01 × 411,543.57
  4. Step 4: Simplify right side
    506,776.82x = 312,511,785,859.09
  5. Step 5: Solve for x
    x = 312,511,785,859.09/506,776.82
  6. Step 6: Final answer
    x = 616,665.51

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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.