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Finding the Fourth Proportional to 592,705.50, 817,946.55 and 324,433.50

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Solution

The fourth proportional to 592,705.50, 817,946.55 and 324,433.50 is: 447,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,705.50 : 817,946.55 = 324,433.50 : x
  2. Step 2: Convert to fraction form
    592,705.50/817,946.55 = 324,433.50/x
  3. Step 3: Cross multiply
    592,705.50x = 817,946.55 × 324,433.50
  4. Step 4: Simplify right side
    592,705.50x = 265,369,262,029.43
  5. Step 5: Solve for x
    x = 265,369,262,029.43/592,705.50
  6. Step 6: Final answer
    x = 447,725.32

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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.