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Finding the Fourth Proportional to 514,114.58, 709,377.30 and 323,017.26

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Solution

The fourth proportional to 514,114.58, 709,377.30 and 323,017.26 is: 445,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,114.58 : 709,377.30 = 323,017.26 : x
  2. Step 2: Convert to fraction form
    514,114.58/709,377.30 = 323,017.26/x
  3. Step 3: Cross multiply
    514,114.58x = 709,377.30 × 323,017.26
  4. Step 4: Simplify right side
    514,114.58x = 229,141,111,752.20
  5. Step 5: Solve for x
    x = 229,141,111,752.20/514,114.58
  6. Step 6: Final answer
    x = 445,700.47

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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.