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Finding the Fourth Proportional to 704,423.37, 972,106.13 and 382,133.47

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Solution

The fourth proportional to 704,423.37, 972,106.13 and 382,133.47 is: 527,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,423.37 : 972,106.13 = 382,133.47 : x
  2. Step 2: Convert to fraction form
    704,423.37/972,106.13 = 382,133.47/x
  3. Step 3: Cross multiply
    704,423.37x = 972,106.13 × 382,133.47
  4. Step 4: Simplify right side
    704,423.37x = 371,474,288,665.17
  5. Step 5: Solve for x
    x = 371,474,288,665.17/704,423.37
  6. Step 6: Final answer
    x = 527,345.21

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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.