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Finding the Fourth Proportional to 1,692,827.64, 2,537,905.41 and 839,310.80

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Solution

The fourth proportional to 1,692,827.64, 2,537,905.41 and 839,310.80 is: 1,258,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692,827.64 : 2,537,905.41 = 839,310.80 : x
  2. Step 2: Convert to fraction form
    1,692,827.64/2,537,905.41 = 839,310.80/x
  3. Step 3: Cross multiply
    1,692,827.64x = 2,537,905.41 × 839,310.80
  4. Step 4: Simplify right side
    1,692,827.64x = 2,130,091,407,301.90
  5. Step 5: Solve for x
    x = 2,130,091,407,301.90/1,692,827.64
  6. Step 6: Final answer
    x = 1,258,303.77

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Why These Related Problems?

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