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Finding the Fourth Proportional to 473,568.06, 710,328.90 and 174,025.58

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Solution

The fourth proportional to 473,568.06, 710,328.90 and 174,025.58 is: 261,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,568.06 : 710,328.90 = 174,025.58 : x
  2. Step 2: Convert to fraction form
    473,568.06/710,328.90 = 174,025.58/x
  3. Step 3: Cross multiply
    473,568.06x = 710,328.90 × 174,025.58
  4. Step 4: Simplify right side
    473,568.06x = 123,615,398,813.26
  5. Step 5: Solve for x
    x = 123,615,398,813.26/473,568.06
  6. Step 6: Final answer
    x = 261,029.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.