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Finding the Fourth Proportional to 674,558.91, 930,986.24 and 429,465.38

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Solution

The fourth proportional to 674,558.91, 930,986.24 and 429,465.38 is: 592,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,558.91 : 930,986.24 = 429,465.38 : x
  2. Step 2: Convert to fraction form
    674,558.91/930,986.24 = 429,465.38/x
  3. Step 3: Cross multiply
    674,558.91x = 930,986.24 × 429,465.38
  4. Step 4: Simplify right side
    674,558.91x = 399,826,352,534.11
  5. Step 5: Solve for x
    x = 399,826,352,534.11/674,558.91
  6. Step 6: Final answer
    x = 592,722.66

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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.