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Finding the Fourth Proportional to 452,293.50, 678,751.29 and 156,805.50

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Solution

The fourth proportional to 452,293.50, 678,751.29 and 156,805.50 is: 235,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,293.50 : 678,751.29 = 156,805.50 : x
  2. Step 2: Convert to fraction form
    452,293.50/678,751.29 = 156,805.50/x
  3. Step 3: Cross multiply
    452,293.50x = 678,751.29 × 156,805.50
  4. Step 4: Simplify right side
    452,293.50x = 106,431,935,404.10
  5. Step 5: Solve for x
    x = 106,431,935,404.10/452,293.50
  6. Step 6: Final answer
    x = 235,316.08

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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.