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Finding the Fourth Proportional to 653,936, 975,181.44 and 647,957.12

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Solution

The fourth proportional to 653,936, 975,181.44 and 647,957.12 is: 966,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,936 : 975,181.44 = 647,957.12 : x
  2. Step 2: Convert to fraction form
    653,936/975,181.44 = 647,957.12/x
  3. Step 3: Cross multiply
    653,936x = 975,181.44 × 647,957.12
  4. Step 4: Simplify right side
    653,936x = 631,875,757,339.85
  5. Step 5: Solve for x
    x = 631,875,757,339.85/653,936
  6. Step 6: Final answer
    x = 966,265.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.