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Finding the Fourth Proportional to 614,206.50, 847,153.80 and 407,100.36

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Solution

The fourth proportional to 614,206.50, 847,153.80 and 407,100.36 is: 561,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,206.50 : 847,153.80 = 407,100.36 : x
  2. Step 2: Convert to fraction form
    614,206.50/847,153.80 = 407,100.36/x
  3. Step 3: Cross multiply
    614,206.50x = 847,153.80 × 407,100.36
  4. Step 4: Simplify right side
    614,206.50x = 344,876,616,955.37
  5. Step 5: Solve for x
    x = 344,876,616,955.37/614,206.50
  6. Step 6: Final answer
    x = 561,499.46

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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.