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Finding the Fourth Proportional to 459,535.74, 634,153.23 and 258,331.74

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Solution

The fourth proportional to 459,535.74, 634,153.23 and 258,331.74 is: 356,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,535.74 : 634,153.23 = 258,331.74 : x
  2. Step 2: Convert to fraction form
    459,535.74/634,153.23 = 258,331.74/x
  3. Step 3: Cross multiply
    459,535.74x = 634,153.23 × 258,331.74
  4. Step 4: Simplify right side
    459,535.74x = 163,821,907,332.52
  5. Step 5: Solve for x
    x = 163,821,907,332.52/459,535.74
  6. Step 6: Final answer
    x = 356,494.38

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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.