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Finding the Fourth Proportional to 416,523.02, 624,808.74 and 117,026.94

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Solution

The fourth proportional to 416,523.02, 624,808.74 and 117,026.94 is: 175,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,523.02 : 624,808.74 = 117,026.94 : x
  2. Step 2: Convert to fraction form
    416,523.02/624,808.74 = 117,026.94/x
  3. Step 3: Cross multiply
    416,523.02x = 624,808.74 × 117,026.94
  4. Step 4: Simplify right side
    416,523.02x = 73,119,454,927.46
  5. Step 5: Solve for x
    x = 73,119,454,927.46/416,523.02
  6. Step 6: Final answer
    x = 175,547.21

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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.