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Finding the Fourth Proportional to 452,478.16, 678,075.32 and 333,214.16

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Solution

The fourth proportional to 452,478.16, 678,075.32 and 333,214.16 is: 499,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,478.16 : 678,075.32 = 333,214.16 : x
  2. Step 2: Convert to fraction form
    452,478.16/678,075.32 = 333,214.16/x
  3. Step 3: Cross multiply
    452,478.16x = 678,075.32 × 333,214.16
  4. Step 4: Simplify right side
    452,478.16x = 225,944,298,170.53
  5. Step 5: Solve for x
    x = 225,944,298,170.53/452,478.16
  6. Step 6: Final answer
    x = 499,348.52

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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.