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Finding the Fourth Proportional to 509,096.50, 763,810.63 and 242,822.36

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Solution

The fourth proportional to 509,096.50, 763,810.63 and 242,822.36 is: 364,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,096.50 : 763,810.63 = 242,822.36 : x
  2. Step 2: Convert to fraction form
    509,096.50/763,810.63 = 242,822.36/x
  3. Step 3: Cross multiply
    509,096.50x = 763,810.63 × 242,822.36
  4. Step 4: Simplify right side
    509,096.50x = 185,470,301,072.16
  5. Step 5: Solve for x
    x = 185,470,301,072.16/509,096.50
  6. Step 6: Final answer
    x = 364,312.66

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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.