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Finding the Fourth Proportional to 553,038.84, 829,357.37 and 193,108.59

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Solution

The fourth proportional to 553,038.84, 829,357.37 and 193,108.59 is: 289,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,038.84 : 829,357.37 = 193,108.59 : x
  2. Step 2: Convert to fraction form
    553,038.84/829,357.37 = 193,108.59/x
  3. Step 3: Cross multiply
    553,038.84x = 829,357.37 × 193,108.59
  4. Step 4: Simplify right side
    553,038.84x = 160,156,031,361.27
  5. Step 5: Solve for x
    x = 160,156,031,361.27/553,038.84
  6. Step 6: Final answer
    x = 289,592.74

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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.