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Finding the Fourth Proportional to 497,207.50, 745,811.26 and 164,783.50

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Solution

The fourth proportional to 497,207.50, 745,811.26 and 164,783.50 is: 247,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,207.50 : 745,811.26 = 164,783.50 : x
  2. Step 2: Convert to fraction form
    497,207.50/745,811.26 = 164,783.50/x
  3. Step 3: Cross multiply
    497,207.50x = 745,811.26 × 164,783.50
  4. Step 4: Simplify right side
    497,207.50x = 122,897,389,762.21
  5. Step 5: Solve for x
    x = 122,897,389,762.21/497,207.50
  6. Step 6: Final answer
    x = 247,175.25

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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.