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Finding the Fourth Proportional to 474,004.90, 711,007.35 and 306,043.30

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Solution

The fourth proportional to 474,004.90, 711,007.35 and 306,043.30 is: 459,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,004.90 : 711,007.35 = 306,043.30 : x
  2. Step 2: Convert to fraction form
    474,004.90/711,007.35 = 306,043.30/x
  3. Step 3: Cross multiply
    474,004.90x = 711,007.35 × 306,043.30
  4. Step 4: Simplify right side
    474,004.90x = 217,599,035,718.26
  5. Step 5: Solve for x
    x = 217,599,035,718.26/474,004.90
  6. Step 6: Final answer
    x = 459,064.95

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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.