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Finding the Fourth Proportional to 737,140, 1,017,304.08 and 414,880.48

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Solution

The fourth proportional to 737,140, 1,017,304.08 and 414,880.48 is: 572,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,140 : 1,017,304.08 = 414,880.48 : x
  2. Step 2: Convert to fraction form
    737,140/1,017,304.08 = 414,880.48/x
  3. Step 3: Cross multiply
    737,140x = 1,017,304.08 × 414,880.48
  4. Step 4: Simplify right side
    737,140x = 422,059,605,016.36
  5. Step 5: Solve for x
    x = 422,059,605,016.36/737,140
  6. Step 6: Final answer
    x = 572,563.70

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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.