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Finding the Fourth Proportional to 468,075.16, 645,941.10 and 253,214.56

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Solution

The fourth proportional to 468,075.16, 645,941.10 and 253,214.56 is: 349,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,075.16 : 645,941.10 = 253,214.56 : x
  2. Step 2: Convert to fraction form
    468,075.16/645,941.10 = 253,214.56/x
  3. Step 3: Cross multiply
    468,075.16x = 645,941.10 × 253,214.56
  4. Step 4: Simplify right side
    468,075.16x = 163,561,691,422.42
  5. Step 5: Solve for x
    x = 163,561,691,422.42/468,075.16
  6. Step 6: Final answer
    x = 349,434.68

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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.