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Finding the Fourth Proportional to 474,409.85, 711,895.43 and 175,101.89

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Solution

The fourth proportional to 474,409.85, 711,895.43 and 175,101.89 is: 262,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,409.85 : 711,895.43 = 175,101.89 : x
  2. Step 2: Convert to fraction form
    474,409.85/711,895.43 = 175,101.89/x
  3. Step 3: Cross multiply
    474,409.85x = 711,895.43 × 175,101.89
  4. Step 4: Simplify right side
    474,409.85x = 124,654,232,153.64
  5. Step 5: Solve for x
    x = 124,654,232,153.64/474,409.85
  6. Step 6: Final answer
    x = 262,756.42

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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.