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Finding the Fourth Proportional to 417,667.60, 626,501.40 and 151,427.80

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Solution

The fourth proportional to 417,667.60, 626,501.40 and 151,427.80 is: 227,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,667.60 : 626,501.40 = 151,427.80 : x
  2. Step 2: Convert to fraction form
    417,667.60/626,501.40 = 151,427.80/x
  3. Step 3: Cross multiply
    417,667.60x = 626,501.40 × 151,427.80
  4. Step 4: Simplify right side
    417,667.60x = 94,869,728,698.92
  5. Step 5: Solve for x
    x = 94,869,728,698.92/417,667.60
  6. Step 6: Final answer
    x = 227,141.70

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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.