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Finding the Fourth Proportional to 343,877.90, 514,832.70 and 304,511.90

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Solution

The fourth proportional to 343,877.90, 514,832.70 and 304,511.90 is: 455,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,877.90 : 514,832.70 = 304,511.90 : x
  2. Step 2: Convert to fraction form
    343,877.90/514,832.70 = 304,511.90/x
  3. Step 3: Cross multiply
    343,877.90x = 514,832.70 × 304,511.90
  4. Step 4: Simplify right side
    343,877.90x = 156,772,683,659.13
  5. Step 5: Solve for x
    x = 156,772,683,659.13/343,877.90
  6. Step 6: Final answer
    x = 455,896.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.