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Finding the Fourth Proportional to 594,271.16, 820,411.86 and 464,934.68

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Solution

The fourth proportional to 594,271.16, 820,411.86 and 464,934.68 is: 641,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,271.16 : 820,411.86 = 464,934.68 : x
  2. Step 2: Convert to fraction form
    594,271.16/820,411.86 = 464,934.68/x
  3. Step 3: Cross multiply
    594,271.16x = 820,411.86 × 464,934.68
  4. Step 4: Simplify right side
    594,271.16x = 381,437,925,597.31
  5. Step 5: Solve for x
    x = 381,437,925,597.31/594,271.16
  6. Step 6: Final answer
    x = 641,858.38

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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.