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Finding the Fourth Proportional to 433,409.42, 598,072.52 and 242,385.91

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Solution

The fourth proportional to 433,409.42, 598,072.52 and 242,385.91 is: 334,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,409.42 : 598,072.52 = 242,385.91 : x
  2. Step 2: Convert to fraction form
    433,409.42/598,072.52 = 242,385.91/x
  3. Step 3: Cross multiply
    433,409.42x = 598,072.52 × 242,385.91
  4. Step 4: Simplify right side
    433,409.42x = 144,964,352,006.19
  5. Step 5: Solve for x
    x = 144,964,352,006.19/433,409.42
  6. Step 6: Final answer
    x = 334,474.39

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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.