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Finding the Fourth Proportional to 460,224, 690,344.64 and 127,808.64

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Solution

The fourth proportional to 460,224, 690,344.64 and 127,808.64 is: 191,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,224 : 690,344.64 = 127,808.64 : x
  2. Step 2: Convert to fraction form
    460,224/690,344.64 = 127,808.64/x
  3. Step 3: Cross multiply
    460,224x = 690,344.64 × 127,808.64
  4. Step 4: Simplify right side
    460,224x = 88,232,009,569.69
  5. Step 5: Solve for x
    x = 88,232,009,569.69/460,224
  6. Step 6: Final answer
    x = 191,715.36

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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.