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Finding the Fourth Proportional to 401,156.17, 553,656.51 and 256,024.57

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Solution

The fourth proportional to 401,156.17, 553,656.51 and 256,024.57 is: 353,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,156.17 : 553,656.51 = 256,024.57 : x
  2. Step 2: Convert to fraction form
    401,156.17/553,656.51 = 256,024.57/x
  3. Step 3: Cross multiply
    401,156.17x = 553,656.51 × 256,024.57
  4. Step 4: Simplify right side
    401,156.17x = 141,749,669,900.45
  5. Step 5: Solve for x
    x = 141,749,669,900.45/401,156.17
  6. Step 6: Final answer
    x = 353,352.83

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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.