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Finding the Fourth Proportional to 296,842.80, 445,307.40 and 97,114.80

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Solution

The fourth proportional to 296,842.80, 445,307.40 and 97,114.80 is: 145,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,842.80 : 445,307.40 = 97,114.80 : x
  2. Step 2: Convert to fraction form
    296,842.80/445,307.40 = 97,114.80/x
  3. Step 3: Cross multiply
    296,842.80x = 445,307.40 × 97,114.80
  4. Step 4: Simplify right side
    296,842.80x = 43,245,939,089.52
  5. Step 5: Solve for x
    x = 43,245,939,089.52/296,842.80
  6. Step 6: Final answer
    x = 145,686.33

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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.