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Finding the Fourth Proportional to 458,059.50, 632,123.70 and 254,114.46

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Solution

The fourth proportional to 458,059.50, 632,123.70 and 254,114.46 is: 350,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,059.50 : 632,123.70 = 254,114.46 : x
  2. Step 2: Convert to fraction form
    458,059.50/632,123.70 = 254,114.46/x
  3. Step 3: Cross multiply
    458,059.50x = 632,123.70 × 254,114.46
  4. Step 4: Simplify right side
    458,059.50x = 160,631,772,678.70
  5. Step 5: Solve for x
    x = 160,631,772,678.70/458,059.50
  6. Step 6: Final answer
    x = 350,678.84

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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.