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Finding the Fourth Proportional to 405,719.40, 607,412.70 and 248,255.40

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Solution

The fourth proportional to 405,719.40, 607,412.70 and 248,255.40 is: 371,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,719.40 : 607,412.70 = 248,255.40 : x
  2. Step 2: Convert to fraction form
    405,719.40/607,412.70 = 248,255.40/x
  3. Step 3: Cross multiply
    405,719.40x = 607,412.70 × 248,255.40
  4. Step 4: Simplify right side
    405,719.40x = 150,793,482,803.58
  5. Step 5: Solve for x
    x = 150,793,482,803.58/405,719.40
  6. Step 6: Final answer
    x = 371,669.39

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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.