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Finding the Fourth Proportional to 334,281, 461,315.52 and 183,378

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Solution

The fourth proportional to 334,281, 461,315.52 and 183,378 is: 253,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,281 : 461,315.52 = 183,378 : x
  2. Step 2: Convert to fraction form
    334,281/461,315.52 = 183,378/x
  3. Step 3: Cross multiply
    334,281x = 461,315.52 × 183,378
  4. Step 4: Simplify right side
    334,281x = 84,595,117,426.56
  5. Step 5: Solve for x
    x = 84,595,117,426.56/334,281
  6. Step 6: Final answer
    x = 253,065.89

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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.