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Finding the Fourth Proportional to 219,326.40, 328,989.60 and 53,114.40

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Solution

The fourth proportional to 219,326.40, 328,989.60 and 53,114.40 is: 79,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,326.40 : 328,989.60 = 53,114.40 : x
  2. Step 2: Convert to fraction form
    219,326.40/328,989.60 = 53,114.40/x
  3. Step 3: Cross multiply
    219,326.40x = 328,989.60 × 53,114.40
  4. Step 4: Simplify right side
    219,326.40x = 17,474,085,210.24
  5. Step 5: Solve for x
    x = 17,474,085,210.24/219,326.40
  6. Step 6: Final answer
    x = 79,671.60

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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.