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Finding the Fourth Proportional to 468,457.06, 646,470 and 253,597.06

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Solution

The fourth proportional to 468,457.06, 646,470 and 253,597.06 is: 349,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,457.06 : 646,470 = 253,597.06 : x
  2. Step 2: Convert to fraction form
    468,457.06/646,470 = 253,597.06/x
  3. Step 3: Cross multiply
    468,457.06x = 646,470 × 253,597.06
  4. Step 4: Simplify right side
    468,457.06x = 163,942,891,378.20
  5. Step 5: Solve for x
    x = 163,942,891,378.20/468,457.06
  6. Step 6: Final answer
    x = 349,963.54

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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.