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Finding the Fourth Proportional to 310,620.60, 465,527.70 and 144,054.20

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Solution

The fourth proportional to 310,620.60, 465,527.70 and 144,054.20 is: 215,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,620.60 : 465,527.70 = 144,054.20 : x
  2. Step 2: Convert to fraction form
    310,620.60/465,527.70 = 144,054.20/x
  3. Step 3: Cross multiply
    310,620.60x = 465,527.70 × 144,054.20
  4. Step 4: Simplify right side
    310,620.60x = 67,061,220,401.34
  5. Step 5: Solve for x
    x = 67,061,220,401.34/310,620.60
  6. Step 6: Final answer
    x = 215,894.31

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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.