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Finding the Fourth Proportional to 428,094.97, 590,547.11 and 264,699.27

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Solution

The fourth proportional to 428,094.97, 590,547.11 and 264,699.27 is: 365,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,094.97 : 590,547.11 = 264,699.27 : x
  2. Step 2: Convert to fraction form
    428,094.97/590,547.11 = 264,699.27/x
  3. Step 3: Cross multiply
    428,094.97x = 590,547.11 × 264,699.27
  4. Step 4: Simplify right side
    428,094.97x = 156,317,387,594.11
  5. Step 5: Solve for x
    x = 156,317,387,594.11/428,094.97
  6. Step 6: Final answer
    x = 365,146.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.