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Finding the Fourth Proportional to 224,032.57, 308,957.29 and 163,507.34

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Solution

The fourth proportional to 224,032.57, 308,957.29 and 163,507.34 is: 225,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,032.57 : 308,957.29 = 163,507.34 : x
  2. Step 2: Convert to fraction form
    224,032.57/308,957.29 = 163,507.34/x
  3. Step 3: Cross multiply
    224,032.57x = 308,957.29 × 163,507.34
  4. Step 4: Simplify right side
    224,032.57x = 50,516,785,025.13
  5. Step 5: Solve for x
    x = 50,516,785,025.13/224,032.57
  6. Step 6: Final answer
    x = 225,488.58

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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.