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Finding the Fourth Proportional to 506,750.31, 760,345.92 and 317,644.02

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Solution

The fourth proportional to 506,750.31, 760,345.92 and 317,644.02 is: 476,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,750.31 : 760,345.92 = 317,644.02 : x
  2. Step 2: Convert to fraction form
    506,750.31/760,345.92 = 317,644.02/x
  3. Step 3: Cross multiply
    506,750.31x = 760,345.92 × 317,644.02
  4. Step 4: Simplify right side
    506,750.31x = 241,519,334,619.40
  5. Step 5: Solve for x
    x = 241,519,334,619.40/506,750.31
  6. Step 6: Final answer
    x = 476,604.22

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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.