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Finding the Fourth Proportional to 432,766.63, 597,206.94 and 241,781.45

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Solution

The fourth proportional to 432,766.63, 597,206.94 and 241,781.45 is: 333,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,766.63 : 597,206.94 = 241,781.45 : x
  2. Step 2: Convert to fraction form
    432,766.63/597,206.94 = 241,781.45/x
  3. Step 3: Cross multiply
    432,766.63x = 597,206.94 × 241,781.45
  4. Step 4: Simplify right side
    432,766.63x = 144,393,559,903.26
  5. Step 5: Solve for x
    x = 144,393,559,903.26/432,766.63
  6. Step 6: Final answer
    x = 333,652.25

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Why These Related Problems?

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