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Finding the Fourth Proportional to 384,741.59, 577,141.40 and 114,848.42

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Solution

The fourth proportional to 384,741.59, 577,141.40 and 114,848.42 is: 172,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,741.59 : 577,141.40 = 114,848.42 : x
  2. Step 2: Convert to fraction form
    384,741.59/577,141.40 = 114,848.42/x
  3. Step 3: Cross multiply
    384,741.59x = 577,141.40 × 114,848.42
  4. Step 4: Simplify right side
    384,741.59x = 66,283,774,446.64
  5. Step 5: Solve for x
    x = 66,283,774,446.64/384,741.59
  6. Step 6: Final answer
    x = 172,281.28

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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.