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Finding the Fourth Proportional to 822,971.70, 1,152,947.70 and 822,971.70

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Solution

The fourth proportional to 822,971.70, 1,152,947.70 and 822,971.70 is: 1,152,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,971.70 : 1,152,947.70 = 822,971.70 : x
  2. Step 2: Convert to fraction form
    822,971.70/1,152,947.70 = 822,971.70/x
  3. Step 3: Cross multiply
    822,971.70x = 1,152,947.70 × 822,971.70
  4. Step 4: Simplify right side
    822,971.70x = 948,843,328,680.09
  5. Step 5: Solve for x
    x = 948,843,328,680.09/822,971.70
  6. Step 6: Final answer
    x = 1,152,947.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.