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Finding the Fourth Proportional to 588,243, 882,364.50 and 145,011

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Solution

The fourth proportional to 588,243, 882,364.50 and 145,011 is: 217,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,243 : 882,364.50 = 145,011 : x
  2. Step 2: Convert to fraction form
    588,243/882,364.50 = 145,011/x
  3. Step 3: Cross multiply
    588,243x = 882,364.50 × 145,011
  4. Step 4: Simplify right side
    588,243x = 127,952,558,509.50
  5. Step 5: Solve for x
    x = 127,952,558,509.50/588,243
  6. Step 6: Final answer
    x = 217,516.50

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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.