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Finding the Fourth Proportional to 408,056.10, 612,084.15 and 258,465.30

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Solution

The fourth proportional to 408,056.10, 612,084.15 and 258,465.30 is: 387,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,056.10 : 612,084.15 = 258,465.30 : x
  2. Step 2: Convert to fraction form
    408,056.10/612,084.15 = 258,465.30/x
  3. Step 3: Cross multiply
    408,056.10x = 612,084.15 × 258,465.30
  4. Step 4: Simplify right side
    408,056.10x = 158,202,513,455.00
  5. Step 5: Solve for x
    x = 158,202,513,455.00/408,056.10
  6. Step 6: Final answer
    x = 387,697.95

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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.