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Finding the Fourth Proportional to 506,595.96, 758,895.24 and 411,933

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Solution

The fourth proportional to 506,595.96, 758,895.24 and 411,933 is: 617,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,595.96 : 758,895.24 = 411,933 : x
  2. Step 2: Convert to fraction form
    506,595.96/758,895.24 = 411,933/x
  3. Step 3: Cross multiply
    506,595.96x = 758,895.24 × 411,933
  4. Step 4: Simplify right side
    506,595.96x = 312,613,992,898.92
  5. Step 5: Solve for x
    x = 312,613,992,898.92/506,595.96
  6. Step 6: Final answer
    x = 617,087.42

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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.