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Finding the Fourth Proportional to 523,645.84, 785,409.94 and 144,620.46

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Solution

The fourth proportional to 523,645.84, 785,409.94 and 144,620.46 is: 216,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,645.84 : 785,409.94 = 144,620.46 : x
  2. Step 2: Convert to fraction form
    523,645.84/785,409.94 = 144,620.46/x
  3. Step 3: Cross multiply
    523,645.84x = 785,409.94 × 144,620.46
  4. Step 4: Simplify right side
    523,645.84x = 113,586,346,811.37
  5. Step 5: Solve for x
    x = 113,586,346,811.37/523,645.84
  6. Step 6: Final answer
    x = 216,914.45

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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.