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Finding the Fourth Proportional to 292,613, 403,805.94 and 158,477

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Solution

The fourth proportional to 292,613, 403,805.94 and 158,477 is: 218,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,613 : 403,805.94 = 158,477 : x
  2. Step 2: Convert to fraction form
    292,613/403,805.94 = 158,477/x
  3. Step 3: Cross multiply
    292,613x = 403,805.94 × 158,477
  4. Step 4: Simplify right side
    292,613x = 63,993,953,953.38
  5. Step 5: Solve for x
    x = 63,993,953,953.38/292,613
  6. Step 6: Final answer
    x = 218,698.26

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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.