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Finding the Fourth Proportional to 980,822, 1,462,649.86 and 971,853.50

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Solution

The fourth proportional to 980,822, 1,462,649.86 and 971,853.50 is: 1,449,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,822 : 1,462,649.86 = 971,853.50 : x
  2. Step 2: Convert to fraction form
    980,822/1,462,649.86 = 971,853.50/x
  3. Step 3: Cross multiply
    980,822x = 1,462,649.86 × 971,853.50
  4. Step 4: Simplify right side
    980,822x = 1,421,481,385,715.51
  5. Step 5: Solve for x
    x = 1,421,481,385,715.51/980,822
  6. Step 6: Final answer
    x = 1,449,275.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.