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Finding the Fourth Proportional to 452,497.16, 678,115.20 and 340,046.06

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Solution

The fourth proportional to 452,497.16, 678,115.20 and 340,046.06 is: 509,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,497.16 : 678,115.20 = 340,046.06 : x
  2. Step 2: Convert to fraction form
    452,497.16/678,115.20 = 340,046.06/x
  3. Step 3: Cross multiply
    452,497.16x = 678,115.20 × 340,046.06
  4. Step 4: Simplify right side
    452,497.16x = 230,590,398,595.54
  5. Step 5: Solve for x
    x = 230,590,398,595.54/452,497.16
  6. Step 6: Final answer
    x = 509,595.25

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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.