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Finding the Fourth Proportional to 1,410,898.14, 1,946,705.89 and 830,146.62

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Solution

The fourth proportional to 1,410,898.14, 1,946,705.89 and 830,146.62 is: 1,145,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,898.14 : 1,946,705.89 = 830,146.62 : x
  2. Step 2: Convert to fraction form
    1,410,898.14/1,946,705.89 = 830,146.62/x
  3. Step 3: Cross multiply
    1,410,898.14x = 1,946,705.89 × 830,146.62
  4. Step 4: Simplify right side
    1,410,898.14x = 1,616,051,310,566.86
  5. Step 5: Solve for x
    x = 1,616,051,310,566.86/1,410,898.14
  6. Step 6: Final answer
    x = 1,145,406.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.