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Finding the Fourth Proportional to 553,035.84, 829,996.74 and 253,657.50

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Solution

The fourth proportional to 553,035.84, 829,996.74 and 253,657.50 is: 380,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,035.84 : 829,996.74 = 253,657.50 : x
  2. Step 2: Convert to fraction form
    553,035.84/829,996.74 = 253,657.50/x
  3. Step 3: Cross multiply
    553,035.84x = 829,996.74 × 253,657.50
  4. Step 4: Simplify right side
    553,035.84x = 210,534,898,076.55
  5. Step 5: Solve for x
    x = 210,534,898,076.55/553,035.84
  6. Step 6: Final answer
    x = 380,689.43

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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.