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Finding the Fourth Proportional to 523,150.68, 721,898.04 and 293,655.40

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Solution

The fourth proportional to 523,150.68, 721,898.04 and 293,655.40 is: 405,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,150.68 : 721,898.04 = 293,655.40 : x
  2. Step 2: Convert to fraction form
    523,150.68/721,898.04 = 293,655.40/x
  3. Step 3: Cross multiply
    523,150.68x = 721,898.04 × 293,655.40
  4. Step 4: Simplify right side
    523,150.68x = 211,989,257,695.42
  5. Step 5: Solve for x
    x = 211,989,257,695.42/523,150.68
  6. Step 6: Final answer
    x = 405,216.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.