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Finding the Fourth Proportional to 506,052.23, 758,966.22 and 146,144.93

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Solution

The fourth proportional to 506,052.23, 758,966.22 and 146,144.93 is: 219,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,052.23 : 758,966.22 = 146,144.93 : x
  2. Step 2: Convert to fraction form
    506,052.23/758,966.22 = 146,144.93/x
  3. Step 3: Cross multiply
    506,052.23x = 758,966.22 × 146,144.93
  4. Step 4: Simplify right side
    506,052.23x = 110,919,061,299.43
  5. Step 5: Solve for x
    x = 110,919,061,299.43/506,052.23
  6. Step 6: Final answer
    x = 219,185.01

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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.