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Finding the Fourth Proportional to 406,846, 610,269 and 157,528

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Solution

The fourth proportional to 406,846, 610,269 and 157,528 is: 236,292

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,846 : 610,269 = 157,528 : x
  2. Step 2: Convert to fraction form
    406,846/610,269 = 157,528/x
  3. Step 3: Cross multiply
    406,846x = 610,269 × 157,528
  4. Step 4: Simplify right side
    406,846x = 96,134,455,032
  5. Step 5: Solve for x
    x = 96,134,455,032/406,846
  6. Step 6: Final answer
    x = 236,292

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.