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Finding the Fourth Proportional to 286,880.77, 429,927.48 and 181,511.11

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Solution

The fourth proportional to 286,880.77, 429,927.48 and 181,511.11 is: 272,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,880.77 : 429,927.48 = 181,511.11 : x
  2. Step 2: Convert to fraction form
    286,880.77/429,927.48 = 181,511.11/x
  3. Step 3: Cross multiply
    286,880.77x = 429,927.48 × 181,511.11
  4. Step 4: Simplify right side
    286,880.77x = 78,036,614,114.30
  5. Step 5: Solve for x
    x = 78,036,614,114.30/286,880.77
  6. Step 6: Final answer
    x = 272,017.58

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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.