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Finding the Fourth Proportional to 468,733.94, 703,134.02 and 232,013.06

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Solution

The fourth proportional to 468,733.94, 703,134.02 and 232,013.06 is: 348,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,733.94 : 703,134.02 = 232,013.06 : x
  2. Step 2: Convert to fraction form
    468,733.94/703,134.02 = 232,013.06/x
  3. Step 3: Cross multiply
    468,733.94x = 703,134.02 × 232,013.06
  4. Step 4: Simplify right side
    468,733.94x = 163,136,273,966.34
  5. Step 5: Solve for x
    x = 163,136,273,966.34/468,733.94
  6. Step 6: Final answer
    x = 348,035.98

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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.