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Finding the Fourth Proportional to 461,930, 637,465.32 and 249,962

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Solution

The fourth proportional to 461,930, 637,465.32 and 249,962 is: 344,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,930 : 637,465.32 = 249,962 : x
  2. Step 2: Convert to fraction form
    461,930/637,465.32 = 249,962/x
  3. Step 3: Cross multiply
    461,930x = 637,465.32 × 249,962
  4. Step 4: Simplify right side
    461,930x = 159,342,106,317.84
  5. Step 5: Solve for x
    x = 159,342,106,317.84/461,930
  6. Step 6: Final answer
    x = 344,948.60

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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.