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Finding the Fourth Proportional to 554,993.12, 830,116.74 and 463,250.27

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Solution

The fourth proportional to 554,993.12, 830,116.74 and 463,250.27 is: 692,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,993.12 : 830,116.74 = 463,250.27 : x
  2. Step 2: Convert to fraction form
    554,993.12/830,116.74 = 463,250.27/x
  3. Step 3: Cross multiply
    554,993.12x = 830,116.74 × 463,250.27
  4. Step 4: Simplify right side
    554,993.12x = 384,551,803,936.52
  5. Step 5: Solve for x
    x = 384,551,803,936.52/554,993.12
  6. Step 6: Final answer
    x = 692,894.72

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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.