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Finding the Fourth Proportional to 514,095.36, 709,418.24 and 287,738.88

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Solution

The fourth proportional to 514,095.36, 709,418.24 and 287,738.88 is: 397,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,095.36 : 709,418.24 = 287,738.88 : x
  2. Step 2: Convert to fraction form
    514,095.36/709,418.24 = 287,738.88/x
  3. Step 3: Cross multiply
    514,095.36x = 709,418.24 × 287,738.88
  4. Step 4: Simplify right side
    514,095.36x = 204,127,209,829.17
  5. Step 5: Solve for x
    x = 204,127,209,829.17/514,095.36
  6. Step 6: Final answer
    x = 397,060.98

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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.