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Finding the Fourth Proportional to 468,242.25, 646,178.91 and 253,386.92

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Solution

The fourth proportional to 468,242.25, 646,178.91 and 253,386.92 is: 349,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,242.25 : 646,178.91 = 253,386.92 : x
  2. Step 2: Convert to fraction form
    468,242.25/646,178.91 = 253,386.92/x
  3. Step 3: Cross multiply
    468,242.25x = 646,178.91 × 253,386.92
  4. Step 4: Simplify right side
    468,242.25x = 163,733,285,864.41
  5. Step 5: Solve for x
    x = 163,733,285,864.41/468,242.25
  6. Step 6: Final answer
    x = 349,676.45

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1.5x scale

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.