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Finding the Fourth Proportional to 564,170.32, 846,334.50 and 164,840.32

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Solution

The fourth proportional to 564,170.32, 846,334.50 and 164,840.32 is: 247,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,170.32 : 846,334.50 = 164,840.32 : x
  2. Step 2: Convert to fraction form
    564,170.32/846,334.50 = 164,840.32/x
  3. Step 3: Cross multiply
    564,170.32x = 846,334.50 × 164,840.32
  4. Step 4: Simplify right side
    564,170.32x = 139,510,049,807.04
  5. Step 5: Solve for x
    x = 139,510,049,807.04/564,170.32
  6. Step 6: Final answer
    x = 247,283.57

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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.