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Finding the Fourth Proportional to 384,903.40, 531,149.96 and 210,470.40

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Solution

The fourth proportional to 384,903.40, 531,149.96 and 210,470.40 is: 290,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,903.40 : 531,149.96 = 210,470.40 : x
  2. Step 2: Convert to fraction form
    384,903.40/531,149.96 = 210,470.40/x
  3. Step 3: Cross multiply
    384,903.40x = 531,149.96 × 210,470.40
  4. Step 4: Simplify right side
    384,903.40x = 111,791,344,541.18
  5. Step 5: Solve for x
    x = 111,791,344,541.18/384,903.40
  6. Step 6: Final answer
    x = 290,440.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.