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Finding the Fourth Proportional to 523,435.32, 785,386.20 and 190,933.56

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Solution

The fourth proportional to 523,435.32, 785,386.20 and 190,933.56 is: 286,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,435.32 : 785,386.20 = 190,933.56 : x
  2. Step 2: Convert to fraction form
    523,435.32/785,386.20 = 190,933.56/x
  3. Step 3: Cross multiply
    523,435.32x = 785,386.20 × 190,933.56
  4. Step 4: Simplify right side
    523,435.32x = 149,956,583,140.87
  5. Step 5: Solve for x
    x = 149,956,583,140.87/523,435.32
  6. Step 6: Final answer
    x = 286,485.41

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1.5x scale

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.