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Finding the Fourth Proportional to 532,416.52, 734,713.86 and 290,709.32

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Solution

The fourth proportional to 532,416.52, 734,713.86 and 290,709.32 is: 401,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,416.52 : 734,713.86 = 290,709.32 : x
  2. Step 2: Convert to fraction form
    532,416.52/734,713.86 = 290,709.32/x
  3. Step 3: Cross multiply
    532,416.52x = 734,713.86 × 290,709.32
  4. Step 4: Simplify right side
    532,416.52x = 213,588,166,635.18
  5. Step 5: Solve for x
    x = 213,588,166,635.18/532,416.52
  6. Step 6: Final answer
    x = 401,167.43

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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.