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Finding the Fourth Proportional to 518,795.47, 773,035.82 and 462,200.67

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Solution

The fourth proportional to 518,795.47, 773,035.82 and 462,200.67 is: 688,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,795.47 : 773,035.82 = 462,200.67 : x
  2. Step 2: Convert to fraction form
    518,795.47/773,035.82 = 462,200.67/x
  3. Step 3: Cross multiply
    518,795.47x = 773,035.82 × 462,200.67
  4. Step 4: Simplify right side
    518,795.47x = 357,297,673,938.00
  5. Step 5: Solve for x
    x = 357,297,673,938.00/518,795.47
  6. Step 6: Final answer
    x = 688,706.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.