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Finding the Fourth Proportional to 459,530.16, 634,103.24 and 255,548.06

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Solution

The fourth proportional to 459,530.16, 634,103.24 and 255,548.06 is: 352,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,530.16 : 634,103.24 = 255,548.06 : x
  2. Step 2: Convert to fraction form
    459,530.16/634,103.24 = 255,548.06/x
  3. Step 3: Cross multiply
    459,530.16x = 634,103.24 × 255,548.06
  4. Step 4: Simplify right side
    459,530.16x = 162,043,852,821.71
  5. Step 5: Solve for x
    x = 162,043,852,821.71/459,530.16
  6. Step 6: Final answer
    x = 352,629.42

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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.