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Finding the Fourth Proportional to 737,075.70, 1,017,162.43 and 414,785.81

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Solution

The fourth proportional to 737,075.70, 1,017,162.43 and 414,785.81 is: 572,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,075.70 : 1,017,162.43 = 414,785.81 : x
  2. Step 2: Convert to fraction form
    737,075.70/1,017,162.43 = 414,785.81/x
  3. Step 3: Cross multiply
    737,075.70x = 1,017,162.43 × 414,785.81
  4. Step 4: Simplify right side
    737,075.70x = 421,904,543,935.06
  5. Step 5: Solve for x
    x = 421,904,543,935.06/737,075.70
  6. Step 6: Final answer
    x = 572,403.27

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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.