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Finding the Fourth Proportional to 290,532.76, 435,930.59 and 148,304.59

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Solution

The fourth proportional to 290,532.76, 435,930.59 and 148,304.59 is: 222,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,532.76 : 435,930.59 = 148,304.59 : x
  2. Step 2: Convert to fraction form
    290,532.76/435,930.59 = 148,304.59/x
  3. Step 3: Cross multiply
    290,532.76x = 435,930.59 × 148,304.59
  4. Step 4: Simplify right side
    290,532.76x = 64,650,506,699.34
  5. Step 5: Solve for x
    x = 64,650,506,699.34/290,532.76
  6. Step 6: Final answer
    x = 222,523.98

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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.