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Finding the Fourth Proportional to 509,444.16, 703,019.04 and 283,083.84

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Solution

The fourth proportional to 509,444.16, 703,019.04 and 283,083.84 is: 390,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,444.16 : 703,019.04 = 283,083.84 : x
  2. Step 2: Convert to fraction form
    509,444.16/703,019.04 = 283,083.84/x
  3. Step 3: Cross multiply
    509,444.16x = 703,019.04 × 283,083.84
  4. Step 4: Simplify right side
    509,444.16x = 199,013,329,436.31
  5. Step 5: Solve for x
    x = 199,013,329,436.31/509,444.16
  6. Step 6: Final answer
    x = 390,647.97

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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.