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Finding the Fourth Proportional to 647,105.88, 892,743.08 and 429,417.21

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Solution

The fourth proportional to 647,105.88, 892,743.08 and 429,417.21 is: 592,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,105.88 : 892,743.08 = 429,417.21 : x
  2. Step 2: Convert to fraction form
    647,105.88/892,743.08 = 429,417.21/x
  3. Step 3: Cross multiply
    647,105.88x = 892,743.08 × 429,417.21
  4. Step 4: Simplify right side
    647,105.88x = 383,359,240,513.32
  5. Step 5: Solve for x
    x = 383,359,240,513.32/647,105.88
  6. Step 6: Final answer
    x = 592,421.20

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