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Finding the Fourth Proportional to 507,914.40, 700,770.24 and 293,050.56

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Solution

The fourth proportional to 507,914.40, 700,770.24 and 293,050.56 is: 404,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,914.40 : 700,770.24 = 293,050.56 : x
  2. Step 2: Convert to fraction form
    507,914.40/700,770.24 = 293,050.56/x
  3. Step 3: Cross multiply
    507,914.40x = 700,770.24 × 293,050.56
  4. Step 4: Simplify right side
    507,914.40x = 205,361,111,263.33
  5. Step 5: Solve for x
    x = 205,361,111,263.33/507,914.40
  6. Step 6: Final answer
    x = 404,322.29

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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.