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Finding the Fourth Proportional to 1,415,782, 1,953,796.32 and 771,207.52

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Solution

The fourth proportional to 1,415,782, 1,953,796.32 and 771,207.52 is: 1,064,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,782 : 1,953,796.32 = 771,207.52 : x
  2. Step 2: Convert to fraction form
    1,415,782/1,953,796.32 = 771,207.52/x
  3. Step 3: Cross multiply
    1,415,782x = 1,953,796.32 × 771,207.52
  4. Step 4: Simplify right side
    1,415,782x = 1,506,782,414,532.33
  5. Step 5: Solve for x
    x = 1,506,782,414,532.33/1,415,782
  6. Step 6: Final answer
    x = 1,064,275.73

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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.