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Finding the Fourth Proportional to 514,116.18, 709,260.50 and 310,051.06

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Solution

The fourth proportional to 514,116.18, 709,260.50 and 310,051.06 is: 427,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,116.18 : 709,260.50 = 310,051.06 : x
  2. Step 2: Convert to fraction form
    514,116.18/709,260.50 = 310,051.06/x
  3. Step 3: Cross multiply
    514,116.18x = 709,260.50 × 310,051.06
  4. Step 4: Simplify right side
    514,116.18x = 219,906,968,843.11
  5. Step 5: Solve for x
    x = 219,906,968,843.11/514,116.18
  6. Step 6: Final answer
    x = 427,737.89

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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.