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Finding the Fourth Proportional to 260,059.20, 390,088.80 and 242,563.20

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Solution

The fourth proportional to 260,059.20, 390,088.80 and 242,563.20 is: 363,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,059.20 : 390,088.80 = 242,563.20 : x
  2. Step 2: Convert to fraction form
    260,059.20/390,088.80 = 242,563.20/x
  3. Step 3: Cross multiply
    260,059.20x = 390,088.80 × 242,563.20
  4. Step 4: Simplify right side
    260,059.20x = 94,621,187,612.16
  5. Step 5: Solve for x
    x = 94,621,187,612.16/260,059.20
  6. Step 6: Final answer
    x = 363,844.80

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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.