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Finding the Fourth Proportional to 433,164.64, 597,779.64 and 242,178.52

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Solution

The fourth proportional to 433,164.64, 597,779.64 and 242,178.52 is: 334,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,164.64 : 597,779.64 = 242,178.52 : x
  2. Step 2: Convert to fraction form
    433,164.64/597,779.64 = 242,178.52/x
  3. Step 3: Cross multiply
    433,164.64x = 597,779.64 × 242,178.52
  4. Step 4: Simplify right side
    433,164.64x = 144,769,388,501.33
  5. Step 5: Solve for x
    x = 144,769,388,501.33/433,164.64
  6. Step 6: Final answer
    x = 334,213.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.