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Finding the Fourth Proportional to 314,125.84, 471,241.68 and 145,577.80

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Solution

The fourth proportional to 314,125.84, 471,241.68 and 145,577.80 is: 218,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,125.84 : 471,241.68 = 145,577.80 : x
  2. Step 2: Convert to fraction form
    314,125.84/471,241.68 = 145,577.80/x
  3. Step 3: Cross multiply
    314,125.84x = 471,241.68 × 145,577.80
  4. Step 4: Simplify right side
    314,125.84x = 68,602,323,958.61
  5. Step 5: Solve for x
    x = 68,602,323,958.61/314,125.84
  6. Step 6: Final answer
    x = 218,391.22

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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.