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Finding the Fourth Proportional to 434,830.20, 652,245.30 and 210,298.20

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Solution

The fourth proportional to 434,830.20, 652,245.30 and 210,298.20 is: 315,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,830.20 : 652,245.30 = 210,298.20 : x
  2. Step 2: Convert to fraction form
    434,830.20/652,245.30 = 210,298.20/x
  3. Step 3: Cross multiply
    434,830.20x = 652,245.30 × 210,298.20
  4. Step 4: Simplify right side
    434,830.20x = 137,166,012,548.46
  5. Step 5: Solve for x
    x = 137,166,012,548.46/434,830.20
  6. Step 6: Final answer
    x = 315,447.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.