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Finding the Fourth Proportional to 388,117.68, 535,601.60 and 218,352

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Solution

The fourth proportional to 388,117.68, 535,601.60 and 218,352 is: 301,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,117.68 : 535,601.60 = 218,352 : x
  2. Step 2: Convert to fraction form
    388,117.68/535,601.60 = 218,352/x
  3. Step 3: Cross multiply
    388,117.68x = 535,601.60 × 218,352
  4. Step 4: Simplify right side
    388,117.68x = 116,949,680,563.20
  5. Step 5: Solve for x
    x = 116,949,680,563.20/388,117.68
  6. Step 6: Final answer
    x = 301,325.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.