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Finding the Fourth Proportional to 384,887.60, 577,331.40 and 258,916.40

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Solution

The fourth proportional to 384,887.60, 577,331.40 and 258,916.40 is: 388,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,887.60 : 577,331.40 = 258,916.40 : x
  2. Step 2: Convert to fraction form
    384,887.60/577,331.40 = 258,916.40/x
  3. Step 3: Cross multiply
    384,887.60x = 577,331.40 × 258,916.40
  4. Step 4: Simplify right side
    384,887.60x = 149,480,567,694.96
  5. Step 5: Solve for x
    x = 149,480,567,694.96/384,887.60
  6. Step 6: Final answer
    x = 388,374.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.