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Finding the Fourth Proportional to 403,140.76, 556,218.82 and 259,983

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Solution

The fourth proportional to 403,140.76, 556,218.82 and 259,983 is: 358,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,140.76 : 556,218.82 = 259,983 : x
  2. Step 2: Convert to fraction form
    403,140.76/556,218.82 = 259,983/x
  3. Step 3: Cross multiply
    403,140.76x = 556,218.82 × 259,983
  4. Step 4: Simplify right side
    403,140.76x = 144,607,437,480.06
  5. Step 5: Solve for x
    x = 144,607,437,480.06/403,140.76
  6. Step 6: Final answer
    x = 358,702.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.