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Finding the Fourth Proportional to 468,091.92, 645,966.27 and 253,231.50

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Solution

The fourth proportional to 468,091.92, 645,966.27 and 253,231.50 is: 349,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,091.92 : 645,966.27 = 253,231.50 : x
  2. Step 2: Convert to fraction form
    468,091.92/645,966.27 = 253,231.50/x
  3. Step 3: Cross multiply
    468,091.92x = 645,966.27 × 253,231.50
  4. Step 4: Simplify right side
    468,091.92x = 163,579,007,501.51
  5. Step 5: Solve for x
    x = 163,579,007,501.51/468,091.92
  6. Step 6: Final answer
    x = 349,459.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.