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Finding the Fourth Proportional to 529,875, 794,618.10 and 174,783.96

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Solution

The fourth proportional to 529,875, 794,618.10 and 174,783.96 is: 262,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,875 : 794,618.10 = 174,783.96 : x
  2. Step 2: Convert to fraction form
    529,875/794,618.10 = 174,783.96/x
  3. Step 3: Cross multiply
    529,875x = 794,618.10 × 174,783.96
  4. Step 4: Simplify right side
    529,875x = 138,886,498,205.68
  5. Step 5: Solve for x
    x = 138,886,498,205.68/529,875
  6. Step 6: Final answer
    x = 262,111.82

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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.