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Finding the Fourth Proportional to 737,121.98, 1,017,216.42 and 414,831.89

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Solution

The fourth proportional to 737,121.98, 1,017,216.42 and 414,831.89 is: 572,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,121.98 : 1,017,216.42 = 414,831.89 : x
  2. Step 2: Convert to fraction form
    737,121.98/1,017,216.42 = 414,831.89/x
  3. Step 3: Cross multiply
    737,121.98x = 1,017,216.42 × 414,831.89
  4. Step 4: Simplify right side
    737,121.98x = 421,973,810,047.63
  5. Step 5: Solve for x
    x = 421,973,810,047.63/737,121.98
  6. Step 6: Final answer
    x = 572,461.30

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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.