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Finding the Fourth Proportional to 506,364.47, 698,226.54 and 325,007.90

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Solution

The fourth proportional to 506,364.47, 698,226.54 and 325,007.90 is: 448,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,364.47 : 698,226.54 = 325,007.90 : x
  2. Step 2: Convert to fraction form
    506,364.47/698,226.54 = 325,007.90/x
  3. Step 3: Cross multiply
    506,364.47x = 698,226.54 × 325,007.90
  4. Step 4: Simplify right side
    506,364.47x = 226,929,141,489.67
  5. Step 5: Solve for x
    x = 226,929,141,489.67/506,364.47
  6. Step 6: Final answer
    x = 448,153.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.