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Finding the Fourth Proportional to 1,197,810, 1,652,980.32 and 653,946

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Solution

The fourth proportional to 1,197,810, 1,652,980.32 and 653,946 is: 902,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,810 : 1,652,980.32 = 653,946 : x
  2. Step 2: Convert to fraction form
    1,197,810/1,652,980.32 = 653,946/x
  3. Step 3: Cross multiply
    1,197,810x = 1,652,980.32 × 653,946
  4. Step 4: Simplify right side
    1,197,810x = 1,080,959,868,342.72
  5. Step 5: Solve for x
    x = 1,080,959,868,342.72/1,197,810
  6. Step 6: Final answer
    x = 902,446.86

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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.