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Finding the Fourth Proportional to 704,495.30, 972,205.36 and 382,205.38

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Solution

The fourth proportional to 704,495.30, 972,205.36 and 382,205.38 is: 527,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,495.30 : 972,205.36 = 382,205.38 : x
  2. Step 2: Convert to fraction form
    704,495.30/972,205.36 = 382,205.38/x
  3. Step 3: Cross multiply
    704,495.30x = 972,205.36 × 382,205.38
  4. Step 4: Simplify right side
    704,495.30x = 371,582,119,056.84
  5. Step 5: Solve for x
    x = 371,582,119,056.84/704,495.30
  6. Step 6: Final answer
    x = 527,444.43

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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.