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Finding the Fourth Proportional to 306,223.43, 459,345.47 and 235,253.93

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Solution

The fourth proportional to 306,223.43, 459,345.47 and 235,253.93 is: 352,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,223.43 : 459,345.47 = 235,253.93 : x
  2. Step 2: Convert to fraction form
    306,223.43/459,345.47 = 235,253.93/x
  3. Step 3: Cross multiply
    306,223.43x = 459,345.47 × 235,253.93
  4. Step 4: Simplify right side
    306,223.43x = 108,062,823,572.20
  5. Step 5: Solve for x
    x = 108,062,823,572.20/306,223.43
  6. Step 6: Final answer
    x = 352,888.82

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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.