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Finding the Fourth Proportional to 416,763.47, 624,461.76 and 176,685.55

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Solution

The fourth proportional to 416,763.47, 624,461.76 and 176,685.55 is: 264,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,763.47 : 624,461.76 = 176,685.55 : x
  2. Step 2: Convert to fraction form
    416,763.47/624,461.76 = 176,685.55/x
  3. Step 3: Cross multiply
    416,763.47x = 624,461.76 × 176,685.55
  4. Step 4: Simplify right side
    416,763.47x = 110,333,367,958.41
  5. Step 5: Solve for x
    x = 110,333,367,958.41/416,763.47
  6. Step 6: Final answer
    x = 264,738.58

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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.