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Finding the Fourth Proportional to 288,543.68, 432,911.68 and 181,804.42

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Solution

The fourth proportional to 288,543.68, 432,911.68 and 181,804.42 is: 272,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,543.68 : 432,911.68 = 181,804.42 : x
  2. Step 2: Convert to fraction form
    288,543.68/432,911.68 = 181,804.42/x
  3. Step 3: Cross multiply
    288,543.68x = 432,911.68 × 181,804.42
  4. Step 4: Simplify right side
    288,543.68x = 78,705,256,893.63
  5. Step 5: Solve for x
    x = 78,705,256,893.63/288,543.68
  6. Step 6: Final answer
    x = 272,767.22

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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.