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Finding the Fourth Proportional to 228,292.80, 314,390.88 and 164,529.60

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Solution

The fourth proportional to 228,292.80, 314,390.88 and 164,529.60 is: 226,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,292.80 : 314,390.88 = 164,529.60 : x
  2. Step 2: Convert to fraction form
    228,292.80/314,390.88 = 164,529.60/x
  3. Step 3: Cross multiply
    228,292.80x = 314,390.88 × 164,529.60
  4. Step 4: Simplify right side
    228,292.80x = 51,726,605,730.05
  5. Step 5: Solve for x
    x = 51,726,605,730.05/228,292.80
  6. Step 6: Final answer
    x = 226,580.10

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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.