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Finding the Fourth Proportional to 519,384.96, 778,762.08 and 203,463.36

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Solution

The fourth proportional to 519,384.96, 778,762.08 and 203,463.36 is: 305,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,384.96 : 778,762.08 = 203,463.36 : x
  2. Step 2: Convert to fraction form
    519,384.96/778,762.08 = 203,463.36/x
  3. Step 3: Cross multiply
    519,384.96x = 778,762.08 × 203,463.36
  4. Step 4: Simplify right side
    519,384.96x = 158,449,549,437.39
  5. Step 5: Solve for x
    x = 158,449,549,437.39/519,384.96
  6. Step 6: Final answer
    x = 305,071.50

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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.