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Finding the Fourth Proportional to 524,208.54, 784,978.73 and 346,449.18

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Solution

The fourth proportional to 524,208.54, 784,978.73 and 346,449.18 is: 518,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,208.54 : 784,978.73 = 346,449.18 : x
  2. Step 2: Convert to fraction form
    524,208.54/784,978.73 = 346,449.18/x
  3. Step 3: Cross multiply
    524,208.54x = 784,978.73 × 346,449.18
  4. Step 4: Simplify right side
    524,208.54x = 271,955,234,267.17
  5. Step 5: Solve for x
    x = 271,955,234,267.17/524,208.54
  6. Step 6: Final answer
    x = 518,792.08

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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.