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Finding the Fourth Proportional to 585,864.82, 808,482.74 and 331,216.08

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Solution

The fourth proportional to 585,864.82, 808,482.74 and 331,216.08 is: 457,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,864.82 : 808,482.74 = 331,216.08 : x
  2. Step 2: Convert to fraction form
    585,864.82/808,482.74 = 331,216.08/x
  3. Step 3: Cross multiply
    585,864.82x = 808,482.74 × 331,216.08
  4. Step 4: Simplify right side
    585,864.82x = 267,782,483,890.46
  5. Step 5: Solve for x
    x = 267,782,483,890.46/585,864.82
  6. Step 6: Final answer
    x = 457,072.13

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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.