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Finding the Fourth Proportional to 331,543.74, 497,315.16 and 153,953.64

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Solution

The fourth proportional to 331,543.74, 497,315.16 and 153,953.64 is: 230,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,543.74 : 497,315.16 = 153,953.64 : x
  2. Step 2: Convert to fraction form
    331,543.74/497,315.16 = 153,953.64/x
  3. Step 3: Cross multiply
    331,543.74x = 497,315.16 × 153,953.64
  4. Step 4: Simplify right side
    331,543.74x = 76,563,479,109.18
  5. Step 5: Solve for x
    x = 76,563,479,109.18/331,543.74
  6. Step 6: Final answer
    x = 230,930.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.