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Finding the Fourth Proportional to 475,035.40, 711,948.30 and 194,235.40

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Solution

The fourth proportional to 475,035.40, 711,948.30 and 194,235.40 is: 291,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,035.40 : 711,948.30 = 194,235.40 : x
  2. Step 2: Convert to fraction form
    475,035.40/711,948.30 = 194,235.40/x
  3. Step 3: Cross multiply
    475,035.40x = 711,948.30 × 194,235.40
  4. Step 4: Simplify right side
    475,035.40x = 138,285,562,829.82
  5. Step 5: Solve for x
    x = 138,285,562,829.82/475,035.40
  6. Step 6: Final answer
    x = 291,105.81

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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.