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Finding the Fourth Proportional to 482,643.90, 724,311.45 and 202,362.30

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Solution

The fourth proportional to 482,643.90, 724,311.45 and 202,362.30 is: 303,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,643.90 : 724,311.45 = 202,362.30 : x
  2. Step 2: Convert to fraction form
    482,643.90/724,311.45 = 202,362.30/x
  3. Step 3: Cross multiply
    482,643.90x = 724,311.45 × 202,362.30
  4. Step 4: Simplify right side
    482,643.90x = 146,573,330,938.34
  5. Step 5: Solve for x
    x = 146,573,330,938.34/482,643.90
  6. Step 6: Final answer
    x = 303,688.35

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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.