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Finding the Fourth Proportional to 411,721.84, 568,316.28 and 242,006.32

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Solution

The fourth proportional to 411,721.84, 568,316.28 and 242,006.32 is: 334,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,721.84 : 568,316.28 = 242,006.32 : x
  2. Step 2: Convert to fraction form
    411,721.84/568,316.28 = 242,006.32/x
  3. Step 3: Cross multiply
    411,721.84x = 568,316.28 × 242,006.32
  4. Step 4: Simplify right side
    411,721.84x = 137,536,131,518.89
  5. Step 5: Solve for x
    x = 137,536,131,518.89/411,721.84
  6. Step 6: Final answer
    x = 334,051.10

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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.