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Finding the Fourth Proportional to 364,811.64, 546,095.80 and 311,003.07

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Solution

The fourth proportional to 364,811.64, 546,095.80 and 311,003.07 is: 465,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,811.64 : 546,095.80 = 311,003.07 : x
  2. Step 2: Convert to fraction form
    364,811.64/546,095.80 = 311,003.07/x
  3. Step 3: Cross multiply
    364,811.64x = 546,095.80 × 311,003.07
  4. Step 4: Simplify right side
    364,811.64x = 169,837,470,314.11
  5. Step 5: Solve for x
    x = 169,837,470,314.11/364,811.64
  6. Step 6: Final answer
    x = 465,548.39

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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.