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Finding the Fourth Proportional to 264,828.80, 397,243.20 and 152,854.40

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Solution

The fourth proportional to 264,828.80, 397,243.20 and 152,854.40 is: 229,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,828.80 : 397,243.20 = 152,854.40 : x
  2. Step 2: Convert to fraction form
    264,828.80/397,243.20 = 152,854.40/x
  3. Step 3: Cross multiply
    264,828.80x = 397,243.20 × 152,854.40
  4. Step 4: Simplify right side
    264,828.80x = 60,720,370,990.08
  5. Step 5: Solve for x
    x = 60,720,370,990.08/264,828.80
  6. Step 6: Final answer
    x = 229,281.60

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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.