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Finding the Fourth Proportional to 434,802.60, 652,268.70 and 154,296.36

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Solution

The fourth proportional to 434,802.60, 652,268.70 and 154,296.36 is: 231,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,802.60 : 652,268.70 = 154,296.36 : x
  2. Step 2: Convert to fraction form
    434,802.60/652,268.70 = 154,296.36/x
  3. Step 3: Cross multiply
    434,802.60x = 652,268.70 × 154,296.36
  4. Step 4: Simplify right side
    434,802.60x = 100,642,686,151.93
  5. Step 5: Solve for x
    x = 100,642,686,151.93/434,802.60
  6. Step 6: Final answer
    x = 231,467.54

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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.