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Finding the Fourth Proportional to 1,054,011.89, 1,578,623.38 and 824,879.90

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Solution

The fourth proportional to 1,054,011.89, 1,578,623.38 and 824,879.90 is: 1,235,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,011.89 : 1,578,623.38 = 824,879.90 : x
  2. Step 2: Convert to fraction form
    1,054,011.89/1,578,623.38 = 824,879.90/x
  3. Step 3: Cross multiply
    1,054,011.89x = 1,578,623.38 × 824,879.90
  4. Step 4: Simplify right side
    1,054,011.89x = 1,302,174,697,716.42
  5. Step 5: Solve for x
    x = 1,302,174,697,716.42/1,054,011.89
  6. Step 6: Final answer
    x = 1,235,445.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.