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Finding the Fourth Proportional to 611,902.96, 917,715.84 and 232,688.50

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Solution

The fourth proportional to 611,902.96, 917,715.84 and 232,688.50 is: 348,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,902.96 : 917,715.84 = 232,688.50 : x
  2. Step 2: Convert to fraction form
    611,902.96/917,715.84 = 232,688.50/x
  3. Step 3: Cross multiply
    611,902.96x = 917,715.84 × 232,688.50
  4. Step 4: Simplify right side
    611,902.96x = 213,541,922,235.84
  5. Step 5: Solve for x
    x = 213,541,922,235.84/611,902.96
  6. Step 6: Final answer
    x = 348,980.04

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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.