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Finding the Fourth Proportional to 468,308.04, 646,265 and 253,448.12

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Solution

The fourth proportional to 468,308.04, 646,265 and 253,448.12 is: 349,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,308.04 : 646,265 = 253,448.12 : x
  2. Step 2: Convert to fraction form
    468,308.04/646,265 = 253,448.12/x
  3. Step 3: Cross multiply
    468,308.04x = 646,265 × 253,448.12
  4. Step 4: Simplify right side
    468,308.04x = 163,794,649,271.80
  5. Step 5: Solve for x
    x = 163,794,649,271.80/468,308.04
  6. Step 6: Final answer
    x = 349,758.35

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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.