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Finding the Fourth Proportional to 461,932, 637,468.08 and 249,964

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Solution

The fourth proportional to 461,932, 637,468.08 and 249,964 is: 344,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,932 : 637,468.08 = 249,964 : x
  2. Step 2: Convert to fraction form
    461,932/637,468.08 = 249,964/x
  3. Step 3: Cross multiply
    461,932x = 637,468.08 × 249,964
  4. Step 4: Simplify right side
    461,932x = 159,344,071,149.12
  5. Step 5: Solve for x
    x = 159,344,071,149.12/461,932
  6. Step 6: Final answer
    x = 344,951.36

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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.