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Finding the Fourth Proportional to 535,090.32, 801,931.32 and 298,544.40

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Solution

The fourth proportional to 535,090.32, 801,931.32 and 298,544.40 is: 447,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,090.32 : 801,931.32 = 298,544.40 : x
  2. Step 2: Convert to fraction form
    535,090.32/801,931.32 = 298,544.40/x
  3. Step 3: Cross multiply
    535,090.32x = 801,931.32 × 298,544.40
  4. Step 4: Simplify right side
    535,090.32x = 239,412,104,770.61
  5. Step 5: Solve for x
    x = 239,412,104,770.61/535,090.32
  6. Step 6: Final answer
    x = 447,423.73

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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.