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Finding the Fourth Proportional to 309,779.12, 464,696.36 and 96,548.84

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Solution

The fourth proportional to 309,779.12, 464,696.36 and 96,548.84 is: 144,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,779.12 : 464,696.36 = 96,548.84 : x
  2. Step 2: Convert to fraction form
    309,779.12/464,696.36 = 96,548.84/x
  3. Step 3: Cross multiply
    309,779.12x = 464,696.36 × 96,548.84
  4. Step 4: Simplify right side
    309,779.12x = 44,865,896,422.58
  5. Step 5: Solve for x
    x = 44,865,896,422.58/309,779.12
  6. Step 6: Final answer
    x = 144,831.89

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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.