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Finding the Fourth Proportional to 532,080, 734,271.36 and 293,616

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Solution

The fourth proportional to 532,080, 734,271.36 and 293,616 is: 405,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,080 : 734,271.36 = 293,616 : x
  2. Step 2: Convert to fraction form
    532,080/734,271.36 = 293,616/x
  3. Step 3: Cross multiply
    532,080x = 734,271.36 × 293,616
  4. Step 4: Simplify right side
    532,080x = 215,593,819,637.76
  5. Step 5: Solve for x
    x = 215,593,819,637.76/532,080
  6. Step 6: Final answer
    x = 405,190.61

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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.