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Finding the Fourth Proportional to 288,596.50, 432,901.23 and 99,056.50

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Solution

The fourth proportional to 288,596.50, 432,901.23 and 99,056.50 is: 148,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,596.50 : 432,901.23 = 99,056.50 : x
  2. Step 2: Convert to fraction form
    288,596.50/432,901.23 = 99,056.50/x
  3. Step 3: Cross multiply
    288,596.50x = 432,901.23 × 99,056.50
  4. Step 4: Simplify right side
    288,596.50x = 42,881,680,689.50
  5. Step 5: Solve for x
    x = 42,881,680,689.50/288,596.50
  6. Step 6: Final answer
    x = 148,586.97

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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.