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Finding the Fourth Proportional to 704,903.78, 973,272.78 and 433,335.78

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Solution

The fourth proportional to 704,903.78, 973,272.78 and 433,335.78 is: 598,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,903.78 : 973,272.78 = 433,335.78 : x
  2. Step 2: Convert to fraction form
    704,903.78/973,272.78 = 433,335.78/x
  3. Step 3: Cross multiply
    704,903.78x = 973,272.78 × 433,335.78
  4. Step 4: Simplify right side
    704,903.78x = 421,753,919,274.07
  5. Step 5: Solve for x
    x = 421,753,919,274.07/704,903.78
  6. Step 6: Final answer
    x = 598,314.17

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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.