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Finding the Fourth Proportional to 385,270.32, 577,817.79 and 145,409.64

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Solution

The fourth proportional to 385,270.32, 577,817.79 and 145,409.64 is: 218,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,270.32 : 577,817.79 = 145,409.64 : x
  2. Step 2: Convert to fraction form
    385,270.32/577,817.79 = 145,409.64/x
  3. Step 3: Cross multiply
    385,270.32x = 577,817.79 × 145,409.64
  4. Step 4: Simplify right side
    385,270.32x = 84,020,276,829.50
  5. Step 5: Solve for x
    x = 84,020,276,829.50/385,270.32
  6. Step 6: Final answer
    x = 218,081.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.