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Finding the Fourth Proportional to 309,627, 464,518.53 and 88,011

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Solution

The fourth proportional to 309,627, 464,518.53 and 88,011 is: 132,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,627 : 464,518.53 = 88,011 : x
  2. Step 2: Convert to fraction form
    309,627/464,518.53 = 88,011/x
  3. Step 3: Cross multiply
    309,627x = 464,518.53 × 88,011
  4. Step 4: Simplify right side
    309,627x = 40,882,740,343.83
  5. Step 5: Solve for x
    x = 40,882,740,343.83/309,627
  6. Step 6: Final answer
    x = 132,038.68

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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.