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Finding the Fourth Proportional to 592,289.76, 817,366.32 and 324,012

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Solution

The fourth proportional to 592,289.76, 817,366.32 and 324,012 is: 447,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,289.76 : 817,366.32 = 324,012 : x
  2. Step 2: Convert to fraction form
    592,289.76/817,366.32 = 324,012/x
  3. Step 3: Cross multiply
    592,289.76x = 817,366.32 × 324,012
  4. Step 4: Simplify right side
    592,289.76x = 264,836,496,075.84
  5. Step 5: Solve for x
    x = 264,836,496,075.84/592,289.76
  6. Step 6: Final answer
    x = 447,140.09

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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.