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Finding the Fourth Proportional to 476,304.49, 714,276.78 and 191,898.64

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Solution

The fourth proportional to 476,304.49, 714,276.78 and 191,898.64 is: 287,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,304.49 : 714,276.78 = 191,898.64 : x
  2. Step 2: Convert to fraction form
    476,304.49/714,276.78 = 191,898.64/x
  3. Step 3: Cross multiply
    476,304.49x = 714,276.78 × 191,898.64
  4. Step 4: Simplify right side
    476,304.49x = 137,068,742,665.58
  5. Step 5: Solve for x
    x = 137,068,742,665.58/476,304.49
  6. Step 6: Final answer
    x = 287,775.46

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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.