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Finding the Fourth Proportional to 532,377.54, 734,698.39 and 290,678.50

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Solution

The fourth proportional to 532,377.54, 734,698.39 and 290,678.50 is: 401,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,377.54 : 734,698.39 = 290,678.50 : x
  2. Step 2: Convert to fraction form
    532,377.54/734,698.39 = 290,678.50/x
  3. Step 3: Cross multiply
    532,377.54x = 734,698.39 × 290,678.50
  4. Step 4: Simplify right side
    532,377.54x = 213,561,024,219.21
  5. Step 5: Solve for x
    x = 213,561,024,219.21/532,377.54
  6. Step 6: Final answer
    x = 401,145.82

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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.