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Finding the Fourth Proportional to 475,707.67, 713,666.43 and 138,774.67

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Solution

The fourth proportional to 475,707.67, 713,666.43 and 138,774.67 is: 208,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,707.67 : 713,666.43 = 138,774.67 : x
  2. Step 2: Convert to fraction form
    475,707.67/713,666.43 = 138,774.67/x
  3. Step 3: Cross multiply
    475,707.67x = 713,666.43 × 138,774.67
  4. Step 4: Simplify right side
    475,707.67x = 99,038,821,529.16
  5. Step 5: Solve for x
    x = 99,038,821,529.16/475,707.67
  6. Step 6: Final answer
    x = 208,192.61

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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.