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Finding the Fourth Proportional to 433,281.48, 650,028.60 and 148,976.34

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Solution

The fourth proportional to 433,281.48, 650,028.60 and 148,976.34 is: 223,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,281.48 : 650,028.60 = 148,976.34 : x
  2. Step 2: Convert to fraction form
    433,281.48/650,028.60 = 148,976.34/x
  3. Step 3: Cross multiply
    433,281.48x = 650,028.60 × 148,976.34
  4. Step 4: Simplify right side
    433,281.48x = 96,838,881,723.32
  5. Step 5: Solve for x
    x = 96,838,881,723.32/433,281.48
  6. Step 6: Final answer
    x = 223,501.09

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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.