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Finding the Fourth Proportional to 532,106.45, 734,322.47 and 290,404.53

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Solution

The fourth proportional to 532,106.45, 734,322.47 and 290,404.53 is: 400,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,106.45 : 734,322.47 = 290,404.53 : x
  2. Step 2: Convert to fraction form
    532,106.45/734,322.47 = 290,404.53/x
  3. Step 3: Cross multiply
    532,106.45x = 734,322.47 × 290,404.53
  4. Step 4: Simplify right side
    532,106.45x = 213,250,571,768.79
  5. Step 5: Solve for x
    x = 213,250,571,768.79/532,106.45
  6. Step 6: Final answer
    x = 400,766.75

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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.