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Finding the Fourth Proportional to 461,952, 637,493.76 and 249,984

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Solution

The fourth proportional to 461,952, 637,493.76 and 249,984 is: 344,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,952 : 637,493.76 = 249,984 : x
  2. Step 2: Convert to fraction form
    461,952/637,493.76 = 249,984/x
  3. Step 3: Cross multiply
    461,952x = 637,493.76 × 249,984
  4. Step 4: Simplify right side
    461,952x = 159,363,240,099.84
  5. Step 5: Solve for x
    x = 159,363,240,099.84/461,952
  6. Step 6: Final answer
    x = 344,977.92

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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.