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Finding the Fourth Proportional to 1,953,943.86, 2,931,916.95 and 930,433.26

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Solution

The fourth proportional to 1,953,943.86, 2,931,916.95 and 930,433.26 is: 1,396,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,943.86 : 2,931,916.95 = 930,433.26 : x
  2. Step 2: Convert to fraction form
    1,953,943.86/2,931,916.95 = 930,433.26/x
  3. Step 3: Cross multiply
    1,953,943.86x = 2,931,916.95 × 930,433.26
  4. Step 4: Simplify right side
    1,953,943.86x = 2,727,953,045,837.76
  5. Step 5: Solve for x
    x = 2,727,953,045,837.76/1,953,943.86
  6. Step 6: Final answer
    x = 1,396,126.62

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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.