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Finding the Fourth Proportional to 458,934.94, 688,247.16 and 174,557.98

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Solution

The fourth proportional to 458,934.94, 688,247.16 and 174,557.98 is: 261,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,934.94 : 688,247.16 = 174,557.98 : x
  2. Step 2: Convert to fraction form
    458,934.94/688,247.16 = 174,557.98/x
  3. Step 3: Cross multiply
    458,934.94x = 688,247.16 × 174,557.98
  4. Step 4: Simplify right side
    458,934.94x = 120,139,033,990.34
  5. Step 5: Solve for x
    x = 120,139,033,990.34/458,934.94
  6. Step 6: Final answer
    x = 261,777.92

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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.