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Finding the Fourth Proportional to 519,103.82, 716,195.53 and 289,623.90

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Solution

The fourth proportional to 519,103.82, 716,195.53 and 289,623.90 is: 399,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,103.82 : 716,195.53 = 289,623.90 : x
  2. Step 2: Convert to fraction form
    519,103.82/716,195.53 = 289,623.90/x
  3. Step 3: Cross multiply
    519,103.82x = 716,195.53 × 289,623.90
  4. Step 4: Simplify right side
    519,103.82x = 207,427,342,561.17
  5. Step 5: Solve for x
    x = 207,427,342,561.17/519,103.82
  6. Step 6: Final answer
    x = 399,587.39

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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.