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Finding the Fourth Proportional to 357,064.20, 535,595.76 and 146,553.84

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Solution

The fourth proportional to 357,064.20, 535,595.76 and 146,553.84 is: 219,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,064.20 : 535,595.76 = 146,553.84 : x
  2. Step 2: Convert to fraction form
    357,064.20/535,595.76 = 146,553.84/x
  3. Step 3: Cross multiply
    357,064.20x = 535,595.76 × 146,553.84
  4. Step 4: Simplify right side
    357,064.20x = 78,493,615,315.72
  5. Step 5: Solve for x
    x = 78,493,615,315.72/357,064.20
  6. Step 6: Final answer
    x = 219,830.54

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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.