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Finding the Fourth Proportional to 1,457,109, 2,010,810.42 and 853,497

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Solution

The fourth proportional to 1,457,109, 2,010,810.42 and 853,497 is: 1,177,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,109 : 2,010,810.42 = 853,497 : x
  2. Step 2: Convert to fraction form
    1,457,109/2,010,810.42 = 853,497/x
  3. Step 3: Cross multiply
    1,457,109x = 2,010,810.42 × 853,497
  4. Step 4: Simplify right side
    1,457,109x = 1,716,220,661,038.74
  5. Step 5: Solve for x
    x = 1,716,220,661,038.74/1,457,109
  6. Step 6: Final answer
    x = 1,177,825.86

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Why These Related Problems?

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