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Finding the Fourth Proportional to 594,284.52, 820,115.10 and 339,644.28

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Solution

The fourth proportional to 594,284.52, 820,115.10 and 339,644.28 is: 468,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,284.52 : 820,115.10 = 339,644.28 : x
  2. Step 2: Convert to fraction form
    594,284.52/820,115.10 = 339,644.28/x
  3. Step 3: Cross multiply
    594,284.52x = 820,115.10 × 339,644.28
  4. Step 4: Simplify right side
    594,284.52x = 278,547,402,656.63
  5. Step 5: Solve for x
    x = 278,547,402,656.63/594,284.52
  6. Step 6: Final answer
    x = 468,710.51

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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.