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Finding the Fourth Proportional to 314,678.96, 471,811.60 and 152,530.08

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Solution

The fourth proportional to 314,678.96, 471,811.60 and 152,530.08 is: 228,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,678.96 : 471,811.60 = 152,530.08 : x
  2. Step 2: Convert to fraction form
    314,678.96/471,811.60 = 152,530.08/x
  3. Step 3: Cross multiply
    314,678.96x = 471,811.60 × 152,530.08
  4. Step 4: Simplify right side
    314,678.96x = 71,965,461,092.93
  5. Step 5: Solve for x
    x = 71,965,461,092.93/314,678.96
  6. Step 6: Final answer
    x = 228,694.86

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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.