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Finding the Fourth Proportional to 513,510.30, 770,265.45 and 335,051.10

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Solution

The fourth proportional to 513,510.30, 770,265.45 and 335,051.10 is: 502,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,510.30 : 770,265.45 = 335,051.10 : x
  2. Step 2: Convert to fraction form
    513,510.30/770,265.45 = 335,051.10/x
  3. Step 3: Cross multiply
    513,510.30x = 770,265.45 × 335,051.10
  4. Step 4: Simplify right side
    513,510.30x = 258,078,286,314.50
  5. Step 5: Solve for x
    x = 258,078,286,314.50/513,510.30
  6. Step 6: Final answer
    x = 502,576.65

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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.