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Finding the Fourth Proportional to 310,475.77, 465,894.37 and 130,548.17

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Solution

The fourth proportional to 310,475.77, 465,894.37 and 130,548.17 is: 195,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,475.77 : 465,894.37 = 130,548.17 : x
  2. Step 2: Convert to fraction form
    310,475.77/465,894.37 = 130,548.17/x
  3. Step 3: Cross multiply
    310,475.77x = 465,894.37 × 130,548.17
  4. Step 4: Simplify right side
    310,475.77x = 60,821,658,010.39
  5. Step 5: Solve for x
    x = 60,821,658,010.39/310,475.77
  6. Step 6: Final answer
    x = 195,898.25

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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.