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Finding the Fourth Proportional to 315,266.98, 473,152.64 and 165,595.52

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Solution

The fourth proportional to 315,266.98, 473,152.64 and 165,595.52 is: 248,525.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,266.98 : 473,152.64 = 165,595.52 : x
  2. Step 2: Convert to fraction form
    315,266.98/473,152.64 = 165,595.52/x
  3. Step 3: Cross multiply
    315,266.98x = 473,152.64 × 165,595.52
  4. Step 4: Simplify right side
    315,266.98x = 78,351,957,460.17
  5. Step 5: Solve for x
    x = 78,351,957,460.17/315,266.98
  6. Step 6: Final answer
    x = 248,525.73

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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.