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Finding the Fourth Proportional to 338,436.65, 507,460.58 and 101,743.85

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Solution

The fourth proportional to 338,436.65, 507,460.58 and 101,743.85 is: 152,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,436.65 : 507,460.58 = 101,743.85 : x
  2. Step 2: Convert to fraction form
    338,436.65/507,460.58 = 101,743.85/x
  3. Step 3: Cross multiply
    338,436.65x = 507,460.58 × 101,743.85
  4. Step 4: Simplify right side
    338,436.65x = 51,630,992,623.71
  5. Step 5: Solve for x
    x = 51,630,992,623.71/338,436.65
  6. Step 6: Final answer
    x = 152,557.33

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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.