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Finding the Fourth Proportional to 847,308.17, 1,169,283.83 and 465,334.91

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Solution

The fourth proportional to 847,308.17, 1,169,283.83 and 465,334.91 is: 642,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,308.17 : 1,169,283.83 = 465,334.91 : x
  2. Step 2: Convert to fraction form
    847,308.17/1,169,283.83 = 465,334.91/x
  3. Step 3: Cross multiply
    847,308.17x = 1,169,283.83 × 465,334.91
  4. Step 4: Simplify right side
    847,308.17x = 544,108,577,624.41
  5. Step 5: Solve for x
    x = 544,108,577,624.41/847,308.17
  6. Step 6: Final answer
    x = 642,161.38

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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.