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Finding the Fourth Proportional to 586,059, 808,761.84 and 317,787

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Solution

The fourth proportional to 586,059, 808,761.84 and 317,787 is: 438,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,059 : 808,761.84 = 317,787 : x
  2. Step 2: Convert to fraction form
    586,059/808,761.84 = 317,787/x
  3. Step 3: Cross multiply
    586,059x = 808,761.84 × 317,787
  4. Step 4: Simplify right side
    586,059x = 257,013,998,848.08
  5. Step 5: Solve for x
    x = 257,013,998,848.08/586,059
  6. Step 6: Final answer
    x = 438,546.29

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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.