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Finding the Fourth Proportional to 566,711.81, 782,034.23 and 312,015.41

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Solution

The fourth proportional to 566,711.81, 782,034.23 and 312,015.41 is: 430,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,711.81 : 782,034.23 = 312,015.41 : x
  2. Step 2: Convert to fraction form
    566,711.81/782,034.23 = 312,015.41/x
  3. Step 3: Cross multiply
    566,711.81x = 782,034.23 × 312,015.41
  4. Step 4: Simplify right side
    566,711.81x = 244,006,730,907.48
  5. Step 5: Solve for x
    x = 244,006,730,907.48/566,711.81
  6. Step 6: Final answer
    x = 430,565.81

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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.