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Finding the Fourth Proportional to 343,430.70, 514,906.05 and 203,117.10

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Solution

The fourth proportional to 343,430.70, 514,906.05 and 203,117.10 is: 304,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,430.70 : 514,906.05 = 203,117.10 : x
  2. Step 2: Convert to fraction form
    343,430.70/514,906.05 = 203,117.10/x
  3. Step 3: Cross multiply
    343,430.70x = 514,906.05 × 203,117.10
  4. Step 4: Simplify right side
    343,430.70x = 104,586,223,648.46
  5. Step 5: Solve for x
    x = 104,586,223,648.46/343,430.70
  6. Step 6: Final answer
    x = 304,533.71

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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.