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Finding the Fourth Proportional to 384,811.60, 577,217.40 and 314,827.60

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Solution

The fourth proportional to 384,811.60, 577,217.40 and 314,827.60 is: 472,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,811.60 : 577,217.40 = 314,827.60 : x
  2. Step 2: Convert to fraction form
    384,811.60/577,217.40 = 314,827.60/x
  3. Step 3: Cross multiply
    384,811.60x = 577,217.40 × 314,827.60
  4. Step 4: Simplify right side
    384,811.60x = 181,723,968,720.24
  5. Step 5: Solve for x
    x = 181,723,968,720.24/384,811.60
  6. Step 6: Final answer
    x = 472,241.40

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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.