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Finding the Fourth Proportional to 602,149.34, 903,224 and 202,756.66

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Solution

The fourth proportional to 602,149.34, 903,224 and 202,756.66 is: 304,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,149.34 : 903,224 = 202,756.66 : x
  2. Step 2: Convert to fraction form
    602,149.34/903,224 = 202,756.66/x
  3. Step 3: Cross multiply
    602,149.34x = 903,224 × 202,756.66
  4. Step 4: Simplify right side
    602,149.34x = 183,134,681,471.84
  5. Step 5: Solve for x
    x = 183,134,681,471.84/602,149.34
  6. Step 6: Final answer
    x = 304,134.99

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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.