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Finding the Fourth Proportional to 468,461.42, 646,478.86 and 253,601.48

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Solution

The fourth proportional to 468,461.42, 646,478.86 and 253,601.48 is: 349,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,461.42 : 646,478.86 = 253,601.48 : x
  2. Step 2: Convert to fraction form
    468,461.42/646,478.86 = 253,601.48/x
  3. Step 3: Cross multiply
    468,461.42x = 646,478.86 × 253,601.48
  4. Step 4: Simplify right side
    468,461.42x = 163,947,996,666.91
  5. Step 5: Solve for x
    x = 163,947,996,666.91/468,461.42
  6. Step 6: Final answer
    x = 349,971.18

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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.