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Finding the Fourth Proportional to 551,655.72, 827,531.16 and 152,296.56

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Solution

The fourth proportional to 551,655.72, 827,531.16 and 152,296.56 is: 228,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,655.72 : 827,531.16 = 152,296.56 : x
  2. Step 2: Convert to fraction form
    551,655.72/827,531.16 = 152,296.56/x
  3. Step 3: Cross multiply
    551,655.72x = 827,531.16 × 152,296.56
  4. Step 4: Simplify right side
    551,655.72x = 126,030,148,960.81
  5. Step 5: Solve for x
    x = 126,030,148,960.81/551,655.72
  6. Step 6: Final answer
    x = 228,457.98

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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.