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Finding the Fourth Proportional to 434,429.60, 652,227.60 and 277,354.40

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Solution

The fourth proportional to 434,429.60, 652,227.60 and 277,354.40 is: 416,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,429.60 : 652,227.60 = 277,354.40 : x
  2. Step 2: Convert to fraction form
    434,429.60/652,227.60 = 277,354.40/x
  3. Step 3: Cross multiply
    434,429.60x = 652,227.60 × 277,354.40
  4. Step 4: Simplify right side
    434,429.60x = 180,898,194,661.44
  5. Step 5: Solve for x
    x = 180,898,194,661.44/434,429.60
  6. Step 6: Final answer
    x = 416,403.93

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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.