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Finding the Fourth Proportional to 385,005.50, 577,606.68 and 160,291.24

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Solution

The fourth proportional to 385,005.50, 577,606.68 and 160,291.24 is: 240,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,005.50 : 577,606.68 = 160,291.24 : x
  2. Step 2: Convert to fraction form
    385,005.50/577,606.68 = 160,291.24/x
  3. Step 3: Cross multiply
    385,005.50x = 577,606.68 × 160,291.24
  4. Step 4: Simplify right side
    385,005.50x = 92,585,290,969.48
  5. Step 5: Solve for x
    x = 92,585,290,969.48/385,005.50
  6. Step 6: Final answer
    x = 240,477.84

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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.