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Finding the Fourth Proportional to 704,840.23, 972,654.78 and 382,543.84

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Solution

The fourth proportional to 704,840.23, 972,654.78 and 382,543.84 is: 527,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,840.23 : 972,654.78 = 382,543.84 : x
  2. Step 2: Convert to fraction form
    704,840.23/972,654.78 = 382,543.84/x
  3. Step 3: Cross multiply
    704,840.23x = 972,654.78 × 382,543.84
  4. Step 4: Simplify right side
    704,840.23x = 372,083,094,535.56
  5. Step 5: Solve for x
    x = 372,083,094,535.56/704,840.23
  6. Step 6: Final answer
    x = 527,897.07

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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.