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Finding the Fourth Proportional to 461,665.38, 637,117.47 and 257,727.63

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Solution

The fourth proportional to 461,665.38, 637,117.47 and 257,727.63 is: 355,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,665.38 : 637,117.47 = 257,727.63 : x
  2. Step 2: Convert to fraction form
    461,665.38/637,117.47 = 257,727.63/x
  3. Step 3: Cross multiply
    461,665.38x = 637,117.47 × 257,727.63
  4. Step 4: Simplify right side
    461,665.38x = 164,202,775,574.70
  5. Step 5: Solve for x
    x = 164,202,775,574.70/461,665.38
  6. Step 6: Final answer
    x = 355,674.87

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1.5x scale

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.