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Finding the Fourth Proportional to 511,709.65, 767,656.39 and 174,671.48

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Solution

The fourth proportional to 511,709.65, 767,656.39 and 174,671.48 is: 262,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,709.65 : 767,656.39 = 174,671.48 : x
  2. Step 2: Convert to fraction form
    511,709.65/767,656.39 = 174,671.48/x
  3. Step 3: Cross multiply
    511,709.65x = 767,656.39 × 174,671.48
  4. Step 4: Simplify right side
    511,709.65x = 134,087,676,376.51
  5. Step 5: Solve for x
    x = 134,087,676,376.51/511,709.65
  6. Step 6: Final answer
    x = 262,038.59

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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.