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Finding the Fourth Proportional to 290,596.40, 435,748.80 and 132,646.40

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Solution

The fourth proportional to 290,596.40, 435,748.80 and 132,646.40 is: 198,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,596.40 : 435,748.80 = 132,646.40 : x
  2. Step 2: Convert to fraction form
    290,596.40/435,748.80 = 132,646.40/x
  3. Step 3: Cross multiply
    290,596.40x = 435,748.80 × 132,646.40
  4. Step 4: Simplify right side
    290,596.40x = 57,800,509,624.32
  5. Step 5: Solve for x
    x = 57,800,509,624.32/290,596.40
  6. Step 6: Final answer
    x = 198,903.05

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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.