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Finding the Fourth Proportional to 468,781.44, 702,888.66 and 184,131.24

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Solution

The fourth proportional to 468,781.44, 702,888.66 and 184,131.24 is: 276,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,781.44 : 702,888.66 = 184,131.24 : x
  2. Step 2: Convert to fraction form
    468,781.44/702,888.66 = 184,131.24/x
  3. Step 3: Cross multiply
    468,781.44x = 702,888.66 × 184,131.24
  4. Step 4: Simplify right side
    468,781.44x = 129,423,760,547.74
  5. Step 5: Solve for x
    x = 129,423,760,547.74/468,781.44
  6. Step 6: Final answer
    x = 276,085.50

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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.