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Finding the Fourth Proportional to 602,429.82, 903,057.21 and 286,801.98

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Solution

The fourth proportional to 602,429.82, 903,057.21 and 286,801.98 is: 429,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,429.82 : 903,057.21 = 286,801.98 : x
  2. Step 2: Convert to fraction form
    602,429.82/903,057.21 = 286,801.98/x
  3. Step 3: Cross multiply
    602,429.82x = 903,057.21 × 286,801.98
  4. Step 4: Simplify right side
    602,429.82x = 258,998,595,881.28
  5. Step 5: Solve for x
    x = 258,998,595,881.28/602,429.82
  6. Step 6: Final answer
    x = 429,923.27

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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.