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Finding the Fourth Proportional to 459,598.86, 634,246.38 and 258,394.86

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Solution

The fourth proportional to 459,598.86, 634,246.38 and 258,394.86 is: 356,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,598.86 : 634,246.38 = 258,394.86 : x
  2. Step 2: Convert to fraction form
    459,598.86/634,246.38 = 258,394.86/x
  3. Step 3: Cross multiply
    459,598.86x = 634,246.38 × 258,394.86
  4. Step 4: Simplify right side
    459,598.86x = 163,886,004,565.61
  5. Step 5: Solve for x
    x = 163,886,004,565.61/459,598.86
  6. Step 6: Final answer
    x = 356,584.88

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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.