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Finding the Fourth Proportional to 467,875.44, 645,669.59 and 253,017

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Solution

The fourth proportional to 467,875.44, 645,669.59 and 253,017 is: 349,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,875.44 : 645,669.59 = 253,017 : x
  2. Step 2: Convert to fraction form
    467,875.44/645,669.59 = 253,017/x
  3. Step 3: Cross multiply
    467,875.44x = 645,669.59 × 253,017
  4. Step 4: Simplify right side
    467,875.44x = 163,365,381,387.95
  5. Step 5: Solve for x
    x = 163,365,381,387.95/467,875.44
  6. Step 6: Final answer
    x = 349,164.26

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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.