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Finding the Fourth Proportional to 473,688.66, 711,038.82 and 203,950.28

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Solution

The fourth proportional to 473,688.66, 711,038.82 and 203,950.28 is: 306,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,688.66 : 711,038.82 = 203,950.28 : x
  2. Step 2: Convert to fraction form
    473,688.66/711,038.82 = 203,950.28/x
  3. Step 3: Cross multiply
    473,688.66x = 711,038.82 × 203,950.28
  4. Step 4: Simplify right side
    473,688.66x = 145,016,566,429.87
  5. Step 5: Solve for x
    x = 145,016,566,429.87/473,688.66
  6. Step 6: Final answer
    x = 306,143.21

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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.