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Finding the Fourth Proportional to 532,412.96, 734,464.64 and 317,401.52

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Solution

The fourth proportional to 532,412.96, 734,464.64 and 317,401.52 is: 437,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,412.96 : 734,464.64 = 317,401.52 : x
  2. Step 2: Convert to fraction form
    532,412.96/734,464.64 = 317,401.52/x
  3. Step 3: Cross multiply
    532,412.96x = 734,464.64 × 317,401.52
  4. Step 4: Simplify right side
    532,412.96x = 233,120,193,122.25
  5. Step 5: Solve for x
    x = 233,120,193,122.25/532,412.96
  6. Step 6: Final answer
    x = 437,855.97

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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.