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Finding the Fourth Proportional to 461,898, 637,421.16 and 249,930

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Solution

The fourth proportional to 461,898, 637,421.16 and 249,930 is: 344,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,898 : 637,421.16 = 249,930 : x
  2. Step 2: Convert to fraction form
    461,898/637,421.16 = 249,930/x
  3. Step 3: Cross multiply
    461,898x = 637,421.16 × 249,930
  4. Step 4: Simplify right side
    461,898x = 159,310,670,518.80
  5. Step 5: Solve for x
    x = 159,310,670,518.80/461,898
  6. Step 6: Final answer
    x = 344,904.44

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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.