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Finding the Fourth Proportional to 473,449.76, 709,366.32 and 260,396

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Solution

The fourth proportional to 473,449.76, 709,366.32 and 260,396 is: 390,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,449.76 : 709,366.32 = 260,396 : x
  2. Step 2: Convert to fraction form
    473,449.76/709,366.32 = 260,396/x
  3. Step 3: Cross multiply
    473,449.76x = 709,366.32 × 260,396
  4. Step 4: Simplify right side
    473,449.76x = 184,716,152,262.72
  5. Step 5: Solve for x
    x = 184,716,152,262.72/473,449.76
  6. Step 6: Final answer
    x = 390,149.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.