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Finding the Fourth Proportional to 475,812.92, 713,686.12 and 223,148.81

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Solution

The fourth proportional to 475,812.92, 713,686.12 and 223,148.81 is: 334,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,812.92 : 713,686.12 = 223,148.81 : x
  2. Step 2: Convert to fraction form
    475,812.92/713,686.12 = 223,148.81/x
  3. Step 3: Cross multiply
    475,812.92x = 713,686.12 × 223,148.81
  4. Step 4: Simplify right side
    475,812.92x = 159,258,208,391.52
  5. Step 5: Solve for x
    x = 159,258,208,391.52/475,812.92
  6. Step 6: Final answer
    x = 334,707.62

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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.