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Finding the Fourth Proportional to 468,462.42, 646,478.00 and 253,602.32

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Solution

The fourth proportional to 468,462.42, 646,478.00 and 253,602.32 is: 349,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,462.42 : 646,478.00 = 253,602.32 : x
  2. Step 2: Convert to fraction form
    468,462.42/646,478.00 = 253,602.32/x
  3. Step 3: Cross multiply
    468,462.42x = 646,478.00 × 253,602.32
  4. Step 4: Simplify right side
    468,462.42x = 163,948,321,928.15
  5. Step 5: Solve for x
    x = 163,948,321,928.15/468,462.42
  6. Step 6: Final answer
    x = 349,971.13

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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.