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Finding the Fourth Proportional to 564,309.63, 846,549.50 and 164,900.25

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Solution

The fourth proportional to 564,309.63, 846,549.50 and 164,900.25 is: 247,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,309.63 : 846,549.50 = 164,900.25 : x
  2. Step 2: Convert to fraction form
    564,309.63/846,549.50 = 164,900.25/x
  3. Step 3: Cross multiply
    564,309.63x = 846,549.50 × 164,900.25
  4. Step 4: Simplify right side
    564,309.63x = 139,596,223,362.87
  5. Step 5: Solve for x
    x = 139,596,223,362.87/564,309.63
  6. Step 6: Final answer
    x = 247,375.23

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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.