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Finding the Fourth Proportional to 482,653.40, 724,152.90 and 202,256.60

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Solution

The fourth proportional to 482,653.40, 724,152.90 and 202,256.60 is: 303,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,653.40 : 724,152.90 = 202,256.60 : x
  2. Step 2: Convert to fraction form
    482,653.40/724,152.90 = 202,256.60/x
  3. Step 3: Cross multiply
    482,653.40x = 724,152.90 × 202,256.60
  4. Step 4: Simplify right side
    482,653.40x = 146,464,703,434.14
  5. Step 5: Solve for x
    x = 146,464,703,434.14/482,653.40
  6. Step 6: Final answer
    x = 303,457.31

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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.