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Finding the Fourth Proportional to 585,207, 807,651.41 and 330,574.59

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Solution

The fourth proportional to 585,207, 807,651.41 and 330,574.59 is: 456,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,207 : 807,651.41 = 330,574.59 : x
  2. Step 2: Convert to fraction form
    585,207/807,651.41 = 330,574.59/x
  3. Step 3: Cross multiply
    585,207x = 807,651.41 × 330,574.59
  4. Step 4: Simplify right side
    585,207x = 266,989,032,070.80
  5. Step 5: Solve for x
    x = 266,989,032,070.80/585,207
  6. Step 6: Final answer
    x = 456,230.07

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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.