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Finding the Fourth Proportional to 1,457,421, 2,011,416.48 and 853,809

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Solution

The fourth proportional to 1,457,421, 2,011,416.48 and 853,809 is: 1,178,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,421 : 2,011,416.48 = 853,809 : x
  2. Step 2: Convert to fraction form
    1,457,421/2,011,416.48 = 853,809/x
  3. Step 3: Cross multiply
    1,457,421x = 2,011,416.48 × 853,809
  4. Step 4: Simplify right side
    1,457,421x = 1,717,365,493,372.32
  5. Step 5: Solve for x
    x = 1,717,365,493,372.32/1,457,421
  6. Step 6: Final answer
    x = 1,178,359.23

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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.