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Finding the Fourth Proportional to 585,213.16, 807,270.80 and 476,434.51

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Solution

The fourth proportional to 585,213.16, 807,270.80 and 476,434.51 is: 657,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,213.16 : 807,270.80 = 476,434.51 : x
  2. Step 2: Convert to fraction form
    585,213.16/807,270.80 = 476,434.51/x
  3. Step 3: Cross multiply
    585,213.16x = 807,270.80 × 476,434.51
  4. Step 4: Simplify right side
    585,213.16x = 384,611,663,998.95
  5. Step 5: Solve for x
    x = 384,611,663,998.95/585,213.16
  6. Step 6: Final answer
    x = 657,216.37

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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.