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Finding the Fourth Proportional to 460,697.88, 635,472.09 and 317,208.72

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Solution

The fourth proportional to 460,697.88, 635,472.09 and 317,208.72 is: 437,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,697.88 : 635,472.09 = 317,208.72 : x
  2. Step 2: Convert to fraction form
    460,697.88/635,472.09 = 317,208.72/x
  3. Step 3: Cross multiply
    460,697.88x = 635,472.09 × 317,208.72
  4. Step 4: Simplify right side
    460,697.88x = 201,577,288,264.63
  5. Step 5: Solve for x
    x = 201,577,288,264.63/460,697.88
  6. Step 6: Final answer
    x = 437,547.68

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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.