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Finding the Fourth Proportional to 468,302.85, 646,258.71 and 253,443.10

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Solution

The fourth proportional to 468,302.85, 646,258.71 and 253,443.10 is: 349,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,302.85 : 646,258.71 = 253,443.10 : x
  2. Step 2: Convert to fraction form
    468,302.85/646,258.71 = 253,443.10/x
  3. Step 3: Cross multiply
    468,302.85x = 646,258.71 × 253,443.10
  4. Step 4: Simplify right side
    468,302.85x = 163,789,810,864.40
  5. Step 5: Solve for x
    x = 163,789,810,864.40/468,302.85
  6. Step 6: Final answer
    x = 349,751.90

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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.