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Finding the Fourth Proportional to 354,829.40, 532,389.90 and 130,297.40

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Solution

The fourth proportional to 354,829.40, 532,389.90 and 130,297.40 is: 195,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,829.40 : 532,389.90 = 130,297.40 : x
  2. Step 2: Convert to fraction form
    354,829.40/532,389.90 = 130,297.40/x
  3. Step 3: Cross multiply
    354,829.40x = 532,389.90 × 130,297.40
  4. Step 4: Simplify right side
    354,829.40x = 69,369,019,756.26
  5. Step 5: Solve for x
    x = 69,369,019,756.26/354,829.40
  6. Step 6: Final answer
    x = 195,499.64

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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.