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Finding the Fourth Proportional to 434,323.71, 650,588.85 and 322,130.61

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Solution

The fourth proportional to 434,323.71, 650,588.85 and 322,130.61 is: 482,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,323.71 : 650,588.85 = 322,130.61 : x
  2. Step 2: Convert to fraction form
    434,323.71/650,588.85 = 322,130.61/x
  3. Step 3: Cross multiply
    434,323.71x = 650,588.85 × 322,130.61
  4. Step 4: Simplify right side
    434,323.71x = 209,574,583,109.70
  5. Step 5: Solve for x
    x = 209,574,583,109.70/434,323.71
  6. Step 6: Final answer
    x = 482,530.84

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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.