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Finding the Fourth Proportional to 553,526.46, 829,644.53 and 254,038.68

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Solution

The fourth proportional to 553,526.46, 829,644.53 and 254,038.68 is: 380,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,526.46 : 829,644.53 = 254,038.68 : x
  2. Step 2: Convert to fraction form
    553,526.46/829,644.53 = 254,038.68/x
  3. Step 3: Cross multiply
    553,526.46x = 829,644.53 × 254,038.68
  4. Step 4: Simplify right side
    553,526.46x = 210,761,800,000.23
  5. Step 5: Solve for x
    x = 210,761,800,000.23/553,526.46
  6. Step 6: Final answer
    x = 380,761.92

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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.