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Finding the Fourth Proportional to 614,608.35, 847,858.01 and 410,709.33

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Solution

The fourth proportional to 614,608.35, 847,858.01 and 410,709.33 is: 566,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,608.35 : 847,858.01 = 410,709.33 : x
  2. Step 2: Convert to fraction form
    614,608.35/847,858.01 = 410,709.33/x
  3. Step 3: Cross multiply
    614,608.35x = 847,858.01 × 410,709.33
  4. Step 4: Simplify right side
    614,608.35x = 348,223,193,168.69
  5. Step 5: Solve for x
    x = 348,223,193,168.69/614,608.35
  6. Step 6: Final answer
    x = 566,577.39

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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.