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Finding the Fourth Proportional to 509,599.02, 763,838.02 and 209,916.15

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Solution

The fourth proportional to 509,599.02, 763,838.02 and 209,916.15 is: 314,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,599.02 : 763,838.02 = 209,916.15 : x
  2. Step 2: Convert to fraction form
    509,599.02/763,838.02 = 209,916.15/x
  3. Step 3: Cross multiply
    509,599.02x = 763,838.02 × 209,916.15
  4. Step 4: Simplify right side
    509,599.02x = 160,341,936,382.02
  5. Step 5: Solve for x
    x = 160,341,936,382.02/509,599.02
  6. Step 6: Final answer
    x = 314,643.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.