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Finding the Fourth Proportional to 434,804.60, 652,271.70 and 154,298.36

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Solution

The fourth proportional to 434,804.60, 652,271.70 and 154,298.36 is: 231,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,804.60 : 652,271.70 = 154,298.36 : x
  2. Step 2: Convert to fraction form
    434,804.60/652,271.70 = 154,298.36/x
  3. Step 3: Cross multiply
    434,804.60x = 652,271.70 × 154,298.36
  4. Step 4: Simplify right side
    434,804.60x = 100,644,453,584.41
  5. Step 5: Solve for x
    x = 100,644,453,584.41/434,804.60
  6. Step 6: Final answer
    x = 231,470.54

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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.