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Finding the Fourth Proportional to 514,106.84, 771,317.90 and 230,036.50

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Solution

The fourth proportional to 514,106.84, 771,317.90 and 230,036.50 is: 345,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,106.84 : 771,317.90 = 230,036.50 : x
  2. Step 2: Convert to fraction form
    514,106.84/771,317.90 = 230,036.50/x
  3. Step 3: Cross multiply
    514,106.84x = 771,317.90 × 230,036.50
  4. Step 4: Simplify right side
    514,106.84x = 177,431,266,246.76
  5. Step 5: Solve for x
    x = 177,431,266,246.76/514,106.84
  6. Step 6: Final answer
    x = 345,125.28

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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.