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Finding the Fourth Proportional to 403,151.76, 556,234.02 and 259,993.98

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Solution

The fourth proportional to 403,151.76, 556,234.02 and 259,993.98 is: 358,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,151.76 : 556,234.02 = 259,993.98 : x
  2. Step 2: Convert to fraction form
    403,151.76/556,234.02 = 259,993.98/x
  3. Step 3: Cross multiply
    403,151.76x = 556,234.02 × 259,993.98
  4. Step 4: Simplify right side
    403,151.76x = 144,617,496,671.20
  5. Step 5: Solve for x
    x = 144,617,496,671.20/403,151.76
  6. Step 6: Final answer
    x = 358,717.26

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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.