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Finding the Fourth Proportional to 384,064.60, 576,096.90 and 343,629.40

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Solution

The fourth proportional to 384,064.60, 576,096.90 and 343,629.40 is: 515,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,064.60 : 576,096.90 = 343,629.40 : x
  2. Step 2: Convert to fraction form
    384,064.60/576,096.90 = 343,629.40/x
  3. Step 3: Cross multiply
    384,064.60x = 576,096.90 × 343,629.40
  4. Step 4: Simplify right side
    384,064.60x = 197,963,832,088.86
  5. Step 5: Solve for x
    x = 197,963,832,088.86/384,064.60
  6. Step 6: Final answer
    x = 515,444.10

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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.