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Finding the Fourth Proportional to 456,590.52, 630,148.14 and 265,611.96

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Solution

The fourth proportional to 456,590.52, 630,148.14 and 265,611.96 is: 366,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,590.52 : 630,148.14 = 265,611.96 : x
  2. Step 2: Convert to fraction form
    456,590.52/630,148.14 = 265,611.96/x
  3. Step 3: Cross multiply
    456,590.52x = 630,148.14 × 265,611.96
  4. Step 4: Simplify right side
    456,590.52x = 167,374,882,555.75
  5. Step 5: Solve for x
    x = 167,374,882,555.75/456,590.52
  6. Step 6: Final answer
    x = 366,575.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.