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Finding the Fourth Proportional to 567,243.38, 782,758.74 and 312,594.50

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Solution

The fourth proportional to 567,243.38, 782,758.74 and 312,594.50 is: 431,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,243.38 : 782,758.74 = 312,594.50 : x
  2. Step 2: Convert to fraction form
    567,243.38/782,758.74 = 312,594.50/x
  3. Step 3: Cross multiply
    567,243.38x = 782,758.74 × 312,594.50
  4. Step 4: Simplify right side
    567,243.38x = 244,686,076,950.93
  5. Step 5: Solve for x
    x = 244,686,076,950.93/567,243.38
  6. Step 6: Final answer
    x = 431,359.95

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1.5x scale

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.