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Finding the Fourth Proportional to 384,140.40, 576,210.60 and 162,495.60

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Solution

The fourth proportional to 384,140.40, 576,210.60 and 162,495.60 is: 243,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,140.40 : 576,210.60 = 162,495.60 : x
  2. Step 2: Convert to fraction form
    384,140.40/576,210.60 = 162,495.60/x
  3. Step 3: Cross multiply
    384,140.40x = 576,210.60 × 162,495.60
  4. Step 4: Simplify right side
    384,140.40x = 93,631,687,173.36
  5. Step 5: Solve for x
    x = 93,631,687,173.36/384,140.40
  6. Step 6: Final answer
    x = 243,743.40

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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.