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Finding the Fourth Proportional to 457,133.50, 685,567.86 and 137,272.45

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Solution

The fourth proportional to 457,133.50, 685,567.86 and 137,272.45 is: 205,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,133.50 : 685,567.86 = 137,272.45 : x
  2. Step 2: Convert to fraction form
    457,133.50/685,567.86 = 137,272.45/x
  3. Step 3: Cross multiply
    457,133.50x = 685,567.86 × 137,272.45
  4. Step 4: Simplify right side
    457,133.50x = 94,109,579,783.46
  5. Step 5: Solve for x
    x = 94,109,579,783.46/457,133.50
  6. Step 6: Final answer
    x = 205,868.92

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