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Finding the Fourth Proportional to 290,106.58, 433,174.46 and 259,925.98

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Solution

The fourth proportional to 290,106.58, 433,174.46 and 259,925.98 is: 388,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,106.58 : 433,174.46 = 259,925.98 : x
  2. Step 2: Convert to fraction form
    290,106.58/433,174.46 = 259,925.98/x
  3. Step 3: Cross multiply
    290,106.58x = 433,174.46 × 259,925.98
  4. Step 4: Simplify right side
    290,106.58x = 112,593,296,026.47
  5. Step 5: Solve for x
    x = 112,593,296,026.47/290,106.58
  6. Step 6: Final answer
    x = 388,110.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.