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Finding the Fourth Proportional to 475,567.76, 713,390.56 and 195,087.44

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Solution

The fourth proportional to 475,567.76, 713,390.56 and 195,087.44 is: 292,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,567.76 : 713,390.56 = 195,087.44 : x
  2. Step 2: Convert to fraction form
    475,567.76/713,390.56 = 195,087.44/x
  3. Step 3: Cross multiply
    475,567.76x = 713,390.56 × 195,087.44
  4. Step 4: Simplify right side
    475,567.76x = 139,173,538,070.57
  5. Step 5: Solve for x
    x = 139,173,538,070.57/475,567.76
  6. Step 6: Final answer
    x = 292,647.13

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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.