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Finding the Fourth Proportional to 468,271.98, 646,216.92 and 253,411.98

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Solution

The fourth proportional to 468,271.98, 646,216.92 and 253,411.98 is: 349,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,271.98 : 646,216.92 = 253,411.98 : x
  2. Step 2: Convert to fraction form
    468,271.98/646,216.92 = 253,411.98/x
  3. Step 3: Cross multiply
    468,271.98x = 646,216.92 × 253,411.98
  4. Step 4: Simplify right side
    468,271.98x = 163,759,109,206.70
  5. Step 5: Solve for x
    x = 163,759,109,206.70/468,271.98
  6. Step 6: Final answer
    x = 349,709.39

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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.