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Finding the Fourth Proportional to 519,103.09, 716,342.16 and 289,648.45

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Solution

The fourth proportional to 519,103.09, 716,342.16 and 289,648.45 is: 399,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,103.09 : 716,342.16 = 289,648.45 : x
  2. Step 2: Convert to fraction form
    519,103.09/716,342.16 = 289,648.45/x
  3. Step 3: Cross multiply
    519,103.09x = 716,342.16 × 289,648.45
  4. Step 4: Simplify right side
    519,103.09x = 207,487,396,313.65
  5. Step 5: Solve for x
    x = 207,487,396,313.65/519,103.09
  6. Step 6: Final answer
    x = 399,703.64

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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.