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Finding the Fourth Proportional to 524,364.12, 723,627.54 and 298,011.24

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Solution

The fourth proportional to 524,364.12, 723,627.54 and 298,011.24 is: 411,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,364.12 : 723,627.54 = 298,011.24 : x
  2. Step 2: Convert to fraction form
    524,364.12/723,627.54 = 298,011.24/x
  3. Step 3: Cross multiply
    524,364.12x = 723,627.54 × 298,011.24
  4. Step 4: Simplify right side
    524,364.12x = 215,649,140,493.55
  5. Step 5: Solve for x
    x = 215,649,140,493.55/524,364.12
  6. Step 6: Final answer
    x = 411,258.38

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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.