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Finding the Fourth Proportional to 457,769.40, 685,271.70 and 402,473.40

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Solution

The fourth proportional to 457,769.40, 685,271.70 and 402,473.40 is: 602,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,769.40 : 685,271.70 = 402,473.40 : x
  2. Step 2: Convert to fraction form
    457,769.40/685,271.70 = 402,473.40/x
  3. Step 3: Cross multiply
    457,769.40x = 685,271.70 × 402,473.40
  4. Step 4: Simplify right side
    457,769.40x = 275,803,631,022.78
  5. Step 5: Solve for x
    x = 275,803,631,022.78/457,769.40
  6. Step 6: Final answer
    x = 602,494.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.