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Finding the Fourth Proportional to 343,141.40, 514,914.30 and 143,446.40

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Solution

The fourth proportional to 343,141.40, 514,914.30 and 143,446.40 is: 215,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,141.40 : 514,914.30 = 143,446.40 : x
  2. Step 2: Convert to fraction form
    343,141.40/514,914.30 = 143,446.40/x
  3. Step 3: Cross multiply
    343,141.40x = 514,914.30 × 143,446.40
  4. Step 4: Simplify right side
    343,141.40x = 73,862,602,643.52
  5. Step 5: Solve for x
    x = 73,862,602,643.52/343,141.40
  6. Step 6: Final answer
    x = 215,254.13

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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.