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Finding the Fourth Proportional to 532,041.42, 734,194.34 and 290,317.98

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Solution

The fourth proportional to 532,041.42, 734,194.34 and 290,317.98 is: 400,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,041.42 : 734,194.34 = 290,317.98 : x
  2. Step 2: Convert to fraction form
    532,041.42/734,194.34 = 290,317.98/x
  3. Step 3: Cross multiply
    532,041.42x = 734,194.34 × 290,317.98
  4. Step 4: Simplify right side
    532,041.42x = 213,149,817,716.23
  5. Step 5: Solve for x
    x = 213,149,817,716.23/532,041.42
  6. Step 6: Final answer
    x = 400,626.36

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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.