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Finding the Fourth Proportional to 462,455.50, 693,683.52 and 130,031.50

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Solution

The fourth proportional to 462,455.50, 693,683.52 and 130,031.50 is: 195,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,455.50 : 693,683.52 = 130,031.50 : x
  2. Step 2: Convert to fraction form
    462,455.50/693,683.52 = 130,031.50/x
  3. Step 3: Cross multiply
    462,455.50x = 693,683.52 × 130,031.50
  4. Step 4: Simplify right side
    462,455.50x = 90,200,708,630.88
  5. Step 5: Solve for x
    x = 90,200,708,630.88/462,455.50
  6. Step 6: Final answer
    x = 195,047.33

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1.5x scale

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.