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Finding the Fourth Proportional to 306,513.94, 459,541.86 and 211,472.93

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Solution

The fourth proportional to 306,513.94, 459,541.86 and 211,472.93 is: 317,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,513.94 : 459,541.86 = 211,472.93 : x
  2. Step 2: Convert to fraction form
    306,513.94/459,541.86 = 211,472.93/x
  3. Step 3: Cross multiply
    306,513.94x = 459,541.86 × 211,472.93
  4. Step 4: Simplify right side
    306,513.94x = 97,180,661,362.76
  5. Step 5: Solve for x
    x = 97,180,661,362.76/306,513.94
  6. Step 6: Final answer
    x = 317,051.36

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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.