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Finding the Fourth Proportional to 305,678.38, 457,871.18 and 193,300.60

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Solution

The fourth proportional to 305,678.38, 457,871.18 and 193,300.60 is: 289,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,678.38 : 457,871.18 = 193,300.60 : x
  2. Step 2: Convert to fraction form
    305,678.38/457,871.18 = 193,300.60/x
  3. Step 3: Cross multiply
    305,678.38x = 457,871.18 × 193,300.60
  4. Step 4: Simplify right side
    305,678.38x = 88,506,773,816.71
  5. Step 5: Solve for x
    x = 88,506,773,816.71/305,678.38
  6. Step 6: Final answer
    x = 289,542.14

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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.