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Finding the Fourth Proportional to 388,688.80, 583,292.40 and 178,218.40

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Solution

The fourth proportional to 388,688.80, 583,292.40 and 178,218.40 is: 267,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,688.80 : 583,292.40 = 178,218.40 : x
  2. Step 2: Convert to fraction form
    388,688.80/583,292.40 = 178,218.40/x
  3. Step 3: Cross multiply
    388,688.80x = 583,292.40 × 178,218.40
  4. Step 4: Simplify right side
    388,688.80x = 103,953,438,260.16
  5. Step 5: Solve for x
    x = 103,953,438,260.16/388,688.80
  6. Step 6: Final answer
    x = 267,446.45

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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.