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Finding the Fourth Proportional to 510,521.94, 704,478.06 and 295,675.92

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Solution

The fourth proportional to 510,521.94, 704,478.06 and 295,675.92 is: 408,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,521.94 : 704,478.06 = 295,675.92 : x
  2. Step 2: Convert to fraction form
    510,521.94/704,478.06 = 295,675.92/x
  3. Step 3: Cross multiply
    510,521.94x = 704,478.06 × 295,675.92
  4. Step 4: Simplify right side
    510,521.94x = 208,297,198,510.32
  5. Step 5: Solve for x
    x = 208,297,198,510.32/510,521.94
  6. Step 6: Final answer
    x = 408,008.32

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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.