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Finding the Fourth Proportional to 474,465.81, 711,241.50 and 174,782.58

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Solution

The fourth proportional to 474,465.81, 711,241.50 and 174,782.58 is: 262,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,465.81 : 711,241.50 = 174,782.58 : x
  2. Step 2: Convert to fraction form
    474,465.81/711,241.50 = 174,782.58/x
  3. Step 3: Cross multiply
    474,465.81x = 711,241.50 × 174,782.58
  4. Step 4: Simplify right side
    474,465.81x = 124,312,624,373.07
  5. Step 5: Solve for x
    x = 124,312,624,373.07/474,465.81
  6. Step 6: Final answer
    x = 262,005.44

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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.