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Finding the Fourth Proportional to 398,141.60, 597,212.40 and 176,525.60

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Solution

The fourth proportional to 398,141.60, 597,212.40 and 176,525.60 is: 264,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,141.60 : 597,212.40 = 176,525.60 : x
  2. Step 2: Convert to fraction form
    398,141.60/597,212.40 = 176,525.60/x
  3. Step 3: Cross multiply
    398,141.60x = 597,212.40 × 176,525.60
  4. Step 4: Simplify right side
    398,141.60x = 105,423,277,237.44
  5. Step 5: Solve for x
    x = 105,423,277,237.44/398,141.60
  6. Step 6: Final answer
    x = 264,788.40

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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.