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Finding the Fourth Proportional to 524,198.16, 785,014.20 and 243,795.60

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Solution

The fourth proportional to 524,198.16, 785,014.20 and 243,795.60 is: 365,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,198.16 : 785,014.20 = 243,795.60 : x
  2. Step 2: Convert to fraction form
    524,198.16/785,014.20 = 243,795.60/x
  3. Step 3: Cross multiply
    524,198.16x = 785,014.20 × 243,795.60
  4. Step 4: Simplify right side
    524,198.16x = 191,383,007,897.52
  5. Step 5: Solve for x
    x = 191,383,007,897.52/524,198.16
  6. Step 6: Final answer
    x = 365,096.68

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1.5x scale

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.