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Finding the Fourth Proportional to 548,225, 822,458.46 and 232,951.40

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Solution

The fourth proportional to 548,225, 822,458.46 and 232,951.40 is: 349,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,225 : 822,458.46 = 232,951.40 : x
  2. Step 2: Convert to fraction form
    548,225/822,458.46 = 232,951.40/x
  3. Step 3: Cross multiply
    548,225x = 822,458.46 × 232,951.40
  4. Step 4: Simplify right side
    548,225x = 191,592,849,698.84
  5. Step 5: Solve for x
    x = 191,592,849,698.84/548,225
  6. Step 6: Final answer
    x = 349,478.50

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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.