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Finding the Fourth Proportional to 457,287.60, 685,931.40 and 448,539.60

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Solution

The fourth proportional to 457,287.60, 685,931.40 and 448,539.60 is: 672,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,287.60 : 685,931.40 = 448,539.60 : x
  2. Step 2: Convert to fraction form
    457,287.60/685,931.40 = 448,539.60/x
  3. Step 3: Cross multiply
    457,287.60x = 685,931.40 × 448,539.60
  4. Step 4: Simplify right side
    457,287.60x = 307,667,395,783.44
  5. Step 5: Solve for x
    x = 307,667,395,783.44/457,287.60
  6. Step 6: Final answer
    x = 672,809.40

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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.