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Finding the Fourth Proportional to 296,976.36, 445,547.46 and 97,437.08

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Solution

The fourth proportional to 296,976.36, 445,547.46 and 97,437.08 is: 146,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,976.36 : 445,547.46 = 97,437.08 : x
  2. Step 2: Convert to fraction form
    296,976.36/445,547.46 = 97,437.08/x
  3. Step 3: Cross multiply
    296,976.36x = 445,547.46 × 97,437.08
  4. Step 4: Simplify right side
    296,976.36x = 43,412,843,503.82
  5. Step 5: Solve for x
    x = 43,412,843,503.82/296,976.36
  6. Step 6: Final answer
    x = 146,182.83

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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.