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Finding the Fourth Proportional to 457,598.19, 686,432.37 and 153,993.84

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Solution

The fourth proportional to 457,598.19, 686,432.37 and 153,993.84 is: 231,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,598.19 : 686,432.37 = 153,993.84 : x
  2. Step 2: Convert to fraction form
    457,598.19/686,432.37 = 153,993.84/x
  3. Step 3: Cross multiply
    457,598.19x = 686,432.37 × 153,993.84
  4. Step 4: Simplify right side
    457,598.19x = 105,706,358,421.14
  5. Step 5: Solve for x
    x = 105,706,358,421.14/457,598.19
  6. Step 6: Final answer
    x = 231,002.57

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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.