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Finding the Fourth Proportional to 271,466.56, 407,303.52 and 153,271.36

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Solution

The fourth proportional to 271,466.56, 407,303.52 and 153,271.36 is: 229,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,466.56 : 407,303.52 = 153,271.36 : x
  2. Step 2: Convert to fraction form
    271,466.56/407,303.52 = 153,271.36/x
  3. Step 3: Cross multiply
    271,466.56x = 407,303.52 × 153,271.36
  4. Step 4: Simplify right side
    271,466.56x = 62,427,964,443.19
  5. Step 5: Solve for x
    x = 62,427,964,443.19/271,466.56
  6. Step 6: Final answer
    x = 229,965.58

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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.