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Finding the Fourth Proportional to 416,267.51, 624,018.51 and 149,962.88

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Solution

The fourth proportional to 416,267.51, 624,018.51 and 149,962.88 is: 224,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,267.51 : 624,018.51 = 149,962.88 : x
  2. Step 2: Convert to fraction form
    416,267.51/624,018.51 = 149,962.88/x
  3. Step 3: Cross multiply
    416,267.51x = 624,018.51 × 149,962.88
  4. Step 4: Simplify right side
    416,267.51x = 93,579,614,492.96
  5. Step 5: Solve for x
    x = 93,579,614,492.96/416,267.51
  6. Step 6: Final answer
    x = 224,806.44

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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.