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Finding the Fourth Proportional to 522,830.30, 784,828.65 and 488,567.30

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Solution

The fourth proportional to 522,830.30, 784,828.65 and 488,567.30 is: 733,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,830.30 : 784,828.65 = 488,567.30 : x
  2. Step 2: Convert to fraction form
    522,830.30/784,828.65 = 488,567.30/x
  3. Step 3: Cross multiply
    522,830.30x = 784,828.65 × 488,567.30
  4. Step 4: Simplify right side
    522,830.30x = 383,441,614,493.15
  5. Step 5: Solve for x
    x = 383,441,614,493.15/522,830.30
  6. Step 6: Final answer
    x = 733,395.93

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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.