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Finding the Fourth Proportional to 613,596.28, 847,024.16 and 412,508.92

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Solution

The fourth proportional to 613,596.28, 847,024.16 and 412,508.92 is: 569,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,596.28 : 847,024.16 = 412,508.92 : x
  2. Step 2: Convert to fraction form
    613,596.28/847,024.16 = 412,508.92/x
  3. Step 3: Cross multiply
    613,596.28x = 847,024.16 × 412,508.92
  4. Step 4: Simplify right side
    613,596.28x = 349,405,021,455.51
  5. Step 5: Solve for x
    x = 349,405,021,455.51/613,596.28
  6. Step 6: Final answer
    x = 569,437.97

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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.