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Finding the Fourth Proportional to 310,048.60, 465,072.90 and 307,715.80

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Solution

The fourth proportional to 310,048.60, 465,072.90 and 307,715.80 is: 461,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,048.60 : 465,072.90 = 307,715.80 : x
  2. Step 2: Convert to fraction form
    310,048.60/465,072.90 = 307,715.80/x
  3. Step 3: Cross multiply
    310,048.60x = 465,072.90 × 307,715.80
  4. Step 4: Simplify right side
    310,048.60x = 143,110,279,481.82
  5. Step 5: Solve for x
    x = 143,110,279,481.82/310,048.60
  6. Step 6: Final answer
    x = 461,573.70

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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.