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Finding the Fourth Proportional to 553,037.84, 829,999.74 and 253,659.50

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Solution

The fourth proportional to 553,037.84, 829,999.74 and 253,659.50 is: 380,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,037.84 : 829,999.74 = 253,659.50 : x
  2. Step 2: Convert to fraction form
    553,037.84/829,999.74 = 253,659.50/x
  3. Step 3: Cross multiply
    553,037.84x = 829,999.74 × 253,659.50
  4. Step 4: Simplify right side
    553,037.84x = 210,537,319,048.53
  5. Step 5: Solve for x
    x = 210,537,319,048.53/553,037.84
  6. Step 6: Final answer
    x = 380,692.43

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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.