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Finding the Fourth Proportional to 364,533.78, 546,776.37 and 175,129.86

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Solution

The fourth proportional to 364,533.78, 546,776.37 and 175,129.86 is: 262,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,533.78 : 546,776.37 = 175,129.86 : x
  2. Step 2: Convert to fraction form
    364,533.78/546,776.37 = 175,129.86/x
  3. Step 3: Cross multiply
    364,533.78x = 546,776.37 × 175,129.86
  4. Step 4: Simplify right side
    364,533.78x = 95,756,869,129.41
  5. Step 5: Solve for x
    x = 95,756,869,129.41/364,533.78
  6. Step 6: Final answer
    x = 262,683.12

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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.