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Finding the Fourth Proportional to 343,256.68, 514,878.54 and 106,594.12

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Solution

The fourth proportional to 343,256.68, 514,878.54 and 106,594.12 is: 159,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,256.68 : 514,878.54 = 106,594.12 : x
  2. Step 2: Convert to fraction form
    343,256.68/514,878.54 = 106,594.12/x
  3. Step 3: Cross multiply
    343,256.68x = 514,878.54 × 106,594.12
  4. Step 4: Simplify right side
    343,256.68x = 54,883,024,878.18
  5. Step 5: Solve for x
    x = 54,883,024,878.18/343,256.68
  6. Step 6: Final answer
    x = 159,889.17

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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.