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Finding the Fourth Proportional to 523,740.70, 785,595.46 and 144,684.25

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Solution

The fourth proportional to 523,740.70, 785,595.46 and 144,684.25 is: 217,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,740.70 : 785,595.46 = 144,684.25 : x
  2. Step 2: Convert to fraction form
    523,740.70/785,595.46 = 144,684.25/x
  3. Step 3: Cross multiply
    523,740.70x = 785,595.46 × 144,684.25
  4. Step 4: Simplify right side
    523,740.70x = 113,663,289,933.51
  5. Step 5: Solve for x
    x = 113,663,289,933.51/523,740.70
  6. Step 6: Final answer
    x = 217,022.07

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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.