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Finding the Fourth Proportional to 433,477.74, 598,175.22 and 242,454.24

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Solution

The fourth proportional to 433,477.74, 598,175.22 and 242,454.24 is: 334,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,477.74 : 598,175.22 = 242,454.24 : x
  2. Step 2: Convert to fraction form
    433,477.74/598,175.22 = 242,454.24/x
  3. Step 3: Cross multiply
    433,477.74x = 598,175.22 × 242,454.24
  4. Step 4: Simplify right side
    433,477.74x = 145,030,118,351.93
  5. Step 5: Solve for x
    x = 145,030,118,351.93/433,477.74
  6. Step 6: Final answer
    x = 334,573.39

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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.