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Finding the Fourth Proportional to 524,114.24, 784,604.48 and 321,070.72

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Solution

The fourth proportional to 524,114.24, 784,604.48 and 321,070.72 is: 480,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,114.24 : 784,604.48 = 321,070.72 : x
  2. Step 2: Convert to fraction form
    524,114.24/784,604.48 = 321,070.72/x
  3. Step 3: Cross multiply
    524,114.24x = 784,604.48 × 321,070.72
  4. Step 4: Simplify right side
    524,114.24x = 251,913,525,308.83
  5. Step 5: Solve for x
    x = 251,913,525,308.83/524,114.24
  6. Step 6: Final answer
    x = 480,646.21

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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.