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Finding the Fourth Proportional to 328,986.16, 493,526.24 and 101,301.00

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Solution

The fourth proportional to 328,986.16, 493,526.24 and 101,301.00 is: 151,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,986.16 : 493,526.24 = 101,301.00 : x
  2. Step 2: Convert to fraction form
    328,986.16/493,526.24 = 101,301.00/x
  3. Step 3: Cross multiply
    328,986.16x = 493,526.24 × 101,301.00
  4. Step 4: Simplify right side
    328,986.16x = 49,994,704,109.93
  5. Step 5: Solve for x
    x = 49,994,704,109.93/328,986.16
  6. Step 6: Final answer
    x = 151,965.98

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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.