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Finding the Fourth Proportional to 297,038.52, 445,583.96 and 83,808.30

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Solution

The fourth proportional to 297,038.52, 445,583.96 and 83,808.30 is: 125,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,038.52 : 445,583.96 = 83,808.30 : x
  2. Step 2: Convert to fraction form
    297,038.52/445,583.96 = 83,808.30/x
  3. Step 3: Cross multiply
    297,038.52x = 445,583.96 × 83,808.30
  4. Step 4: Simplify right side
    297,038.52x = 37,343,631,547.91
  5. Step 5: Solve for x
    x = 37,343,631,547.91/297,038.52
  6. Step 6: Final answer
    x = 125,719.83

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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.