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Finding the Fourth Proportional to 459,784.86, 634,294.71 and 332,258.46

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Solution

The fourth proportional to 459,784.86, 634,294.71 and 332,258.46 is: 458,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,784.86 : 634,294.71 = 332,258.46 : x
  2. Step 2: Convert to fraction form
    459,784.86/634,294.71 = 332,258.46/x
  3. Step 3: Cross multiply
    459,784.86x = 634,294.71 × 332,258.46
  4. Step 4: Simplify right side
    459,784.86x = 210,749,783,530.75
  5. Step 5: Solve for x
    x = 210,749,783,530.75/459,784.86
  6. Step 6: Final answer
    x = 458,366.08

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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.