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Finding the Fourth Proportional to 474,730.40, 712,102.80 and 154,880.84

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Solution

The fourth proportional to 474,730.40, 712,102.80 and 154,880.84 is: 232,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,730.40 : 712,102.80 = 154,880.84 : x
  2. Step 2: Convert to fraction form
    474,730.40/712,102.80 = 154,880.84/x
  3. Step 3: Cross multiply
    474,730.40x = 712,102.80 × 154,880.84
  4. Step 4: Simplify right side
    474,730.40x = 110,291,079,830.35
  5. Step 5: Solve for x
    x = 110,291,079,830.35/474,730.40
  6. Step 6: Final answer
    x = 232,323.61

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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.