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Finding the Fourth Proportional to 727,133.60, 1,003,566.84 and 468,938

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Solution

The fourth proportional to 727,133.60, 1,003,566.84 and 468,938 is: 647,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,133.60 : 1,003,566.84 = 468,938 : x
  2. Step 2: Convert to fraction form
    727,133.60/1,003,566.84 = 468,938/x
  3. Step 3: Cross multiply
    727,133.60x = 1,003,566.84 × 468,938
  4. Step 4: Simplify right side
    727,133.60x = 470,610,626,815.92
  5. Step 5: Solve for x
    x = 470,610,626,815.92/727,133.60
  6. Step 6: Final answer
    x = 647,213.42

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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.