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Finding the Fourth Proportional to 288,569.10, 432,853.65 and 162,597.90

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Solution

The fourth proportional to 288,569.10, 432,853.65 and 162,597.90 is: 243,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,569.10 : 432,853.65 = 162,597.90 : x
  2. Step 2: Convert to fraction form
    288,569.10/432,853.65 = 162,597.90/x
  3. Step 3: Cross multiply
    288,569.10x = 432,853.65 × 162,597.90
  4. Step 4: Simplify right side
    288,569.10x = 70,381,094,497.34
  5. Step 5: Solve for x
    x = 70,381,094,497.34/288,569.10
  6. Step 6: Final answer
    x = 243,896.85

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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.