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Finding the Fourth Proportional to 434,822.58, 650,989.71 and 294,329.70

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Solution

The fourth proportional to 434,822.58, 650,989.71 and 294,329.70 is: 440,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,822.58 : 650,989.71 = 294,329.70 : x
  2. Step 2: Convert to fraction form
    434,822.58/650,989.71 = 294,329.70/x
  3. Step 3: Cross multiply
    434,822.58x = 650,989.71 × 294,329.70
  4. Step 4: Simplify right side
    434,822.58x = 191,605,606,047.39
  5. Step 5: Solve for x
    x = 191,605,606,047.39/434,822.58
  6. Step 6: Final answer
    x = 440,652.38

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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.