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Finding the Fourth Proportional to 532,054.32, 734,228.91 and 290,341

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Solution

The fourth proportional to 532,054.32, 734,228.91 and 290,341 is: 400,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,054.32 : 734,228.91 = 290,341 : x
  2. Step 2: Convert to fraction form
    532,054.32/734,228.91 = 290,341/x
  3. Step 3: Cross multiply
    532,054.32x = 734,228.91 × 290,341
  4. Step 4: Simplify right side
    532,054.32x = 213,176,755,958.31
  5. Step 5: Solve for x
    x = 213,176,755,958.31/532,054.32
  6. Step 6: Final answer
    x = 400,667.28

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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.