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Finding the Fourth Proportional to 290,059.46, 435,037.29 and 184,565.06

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Solution

The fourth proportional to 290,059.46, 435,037.29 and 184,565.06 is: 276,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,059.46 : 435,037.29 = 184,565.06 : x
  2. Step 2: Convert to fraction form
    290,059.46/435,037.29 = 184,565.06/x
  3. Step 3: Cross multiply
    290,059.46x = 435,037.29 × 184,565.06
  4. Step 4: Simplify right side
    290,059.46x = 80,292,683,531.09
  5. Step 5: Solve for x
    x = 80,292,683,531.09/290,059.46
  6. Step 6: Final answer
    x = 276,814.57

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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.