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Finding the Fourth Proportional to 564,878.84, 847,325.09 and 165,527.71

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Solution

The fourth proportional to 564,878.84, 847,325.09 and 165,527.71 is: 248,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,878.84 : 847,325.09 = 165,527.71 : x
  2. Step 2: Convert to fraction form
    564,878.84/847,325.09 = 165,527.71/x
  3. Step 3: Cross multiply
    564,878.84x = 847,325.09 × 165,527.71
  4. Step 4: Simplify right side
    564,878.84x = 140,255,780,068.75
  5. Step 5: Solve for x
    x = 140,255,780,068.75/564,878.84
  6. Step 6: Final answer
    x = 248,293.57

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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.