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Finding the Fourth Proportional to 461,653.32, 637,369.74 and 354,016.20

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Solution

The fourth proportional to 461,653.32, 637,369.74 and 354,016.20 is: 488,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,653.32 : 637,369.74 = 354,016.20 : x
  2. Step 2: Convert to fraction form
    461,653.32/637,369.74 = 354,016.20/x
  3. Step 3: Cross multiply
    461,653.32x = 637,369.74 × 354,016.20
  4. Step 4: Simplify right side
    461,653.32x = 225,639,213,349.79
  5. Step 5: Solve for x
    x = 225,639,213,349.79/461,653.32
  6. Step 6: Final answer
    x = 488,763.33

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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.