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Finding the Fourth Proportional to 465,290.81, 698,533.92 and 358,742.44

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Solution

The fourth proportional to 465,290.81, 698,533.92 and 358,742.44 is: 538,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,290.81 : 698,533.92 = 358,742.44 : x
  2. Step 2: Convert to fraction form
    465,290.81/698,533.92 = 358,742.44/x
  3. Step 3: Cross multiply
    465,290.81x = 698,533.92 × 358,742.44
  4. Step 4: Simplify right side
    465,290.81x = 250,593,763,780.42
  5. Step 5: Solve for x
    x = 250,593,763,780.42/465,290.81
  6. Step 6: Final answer
    x = 538,574.50

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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.