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Finding the Fourth Proportional to 1,776,780, 2,452,014.90 and 971,964

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Solution

The fourth proportional to 1,776,780, 2,452,014.90 and 971,964 is: 1,341,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,780 : 2,452,014.90 = 971,964 : x
  2. Step 2: Convert to fraction form
    1,776,780/2,452,014.90 = 971,964/x
  3. Step 3: Cross multiply
    1,776,780x = 2,452,014.90 × 971,964
  4. Step 4: Simplify right side
    1,776,780x = 2,383,270,210,263.60
  5. Step 5: Solve for x
    x = 2,383,270,210,263.60/1,776,780
  6. Step 6: Final answer
    x = 1,341,342.32

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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.