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Finding the Fourth Proportional to 461,860.32, 637,311 and 257,922.57

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Solution

The fourth proportional to 461,860.32, 637,311 and 257,922.57 is: 355,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,860.32 : 637,311 = 257,922.57 : x
  2. Step 2: Convert to fraction form
    461,860.32/637,311 = 257,922.57/x
  3. Step 3: Cross multiply
    461,860.32x = 637,311 × 257,922.57
  4. Step 4: Simplify right side
    461,860.32x = 164,376,891,009.27
  5. Step 5: Solve for x
    x = 164,376,891,009.27/461,860.32
  6. Step 6: Final answer
    x = 355,901.74

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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.