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Finding the Fourth Proportional to 486,027.40, 728,943.90 and 233,307.40

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Solution

The fourth proportional to 486,027.40, 728,943.90 and 233,307.40 is: 349,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,027.40 : 728,943.90 = 233,307.40 : x
  2. Step 2: Convert to fraction form
    486,027.40/728,943.90 = 233,307.40/x
  3. Step 3: Cross multiply
    486,027.40x = 728,943.90 × 233,307.40
  4. Step 4: Simplify right side
    486,027.40x = 170,068,006,054.86
  5. Step 5: Solve for x
    x = 170,068,006,054.86/486,027.40
  6. Step 6: Final answer
    x = 349,914.44

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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.