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Finding the Fourth Proportional to 553,594.20, 830,263.86 and 216,642.84

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Solution

The fourth proportional to 553,594.20, 830,263.86 and 216,642.84 is: 324,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,594.20 : 830,263.86 = 216,642.84 : x
  2. Step 2: Convert to fraction form
    553,594.20/830,263.86 = 216,642.84/x
  3. Step 3: Cross multiply
    553,594.20x = 830,263.86 × 216,642.84
  4. Step 4: Simplify right side
    553,594.20x = 179,870,720,579.76
  5. Step 5: Solve for x
    x = 179,870,720,579.76/553,594.20
  6. Step 6: Final answer
    x = 324,914.39

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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.