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Finding the Fourth Proportional to 410,975.32, 616,512.80 and 144,681.34

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Solution

The fourth proportional to 410,975.32, 616,512.80 and 144,681.34 is: 217,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,975.32 : 616,512.80 = 144,681.34 : x
  2. Step 2: Convert to fraction form
    410,975.32/616,512.80 = 144,681.34/x
  3. Step 3: Cross multiply
    410,975.32x = 616,512.80 × 144,681.34
  4. Step 4: Simplify right side
    410,975.32x = 89,197,898,031.15
  5. Step 5: Solve for x
    x = 89,197,898,031.15/410,975.32
  6. Step 6: Final answer
    x = 217,039.55

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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.