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Finding the Fourth Proportional to 468,461.97, 646,477.73 and 253,602.03

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Solution

The fourth proportional to 468,461.97, 646,477.73 and 253,602.03 is: 349,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,461.97 : 646,477.73 = 253,602.03 : x
  2. Step 2: Convert to fraction form
    468,461.97/646,477.73 = 253,602.03/x
  3. Step 3: Cross multiply
    468,461.97x = 646,477.73 × 253,602.03
  4. Step 4: Simplify right side
    468,461.97x = 163,948,064,677.79
  5. Step 5: Solve for x
    x = 163,948,064,677.79/468,461.97
  6. Step 6: Final answer
    x = 349,970.92

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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.