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Finding the Fourth Proportional to 475,829.65, 713,931.28 and 209,403.27

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Solution

The fourth proportional to 475,829.65, 713,931.28 and 209,403.27 is: 314,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,829.65 : 713,931.28 = 209,403.27 : x
  2. Step 2: Convert to fraction form
    475,829.65/713,931.28 = 209,403.27/x
  3. Step 3: Cross multiply
    475,829.65x = 713,931.28 × 209,403.27
  4. Step 4: Simplify right side
    475,829.65x = 149,499,544,063.78
  5. Step 5: Solve for x
    x = 149,499,544,063.78/475,829.65
  6. Step 6: Final answer
    x = 314,187.12

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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.