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Finding the Fourth Proportional to 219,311.70, 328,967.55 and 144,516.30

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Solution

The fourth proportional to 219,311.70, 328,967.55 and 144,516.30 is: 216,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,311.70 : 328,967.55 = 144,516.30 : x
  2. Step 2: Convert to fraction form
    219,311.70/328,967.55 = 144,516.30/x
  3. Step 3: Cross multiply
    219,311.70x = 328,967.55 × 144,516.30
  4. Step 4: Simplify right side
    219,311.70x = 47,541,173,146.07
  5. Step 5: Solve for x
    x = 47,541,173,146.07/219,311.70
  6. Step 6: Final answer
    x = 216,774.45

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1.5x scale

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.