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Finding the Fourth Proportional to 584,984.84, 875,602.38 and 314,734.28

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Solution

The fourth proportional to 584,984.84, 875,602.38 and 314,734.28 is: 471,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,984.84 : 875,602.38 = 314,734.28 : x
  2. Step 2: Convert to fraction form
    584,984.84/875,602.38 = 314,734.28/x
  3. Step 3: Cross multiply
    584,984.84x = 875,602.38 × 314,734.28
  4. Step 4: Simplify right side
    584,984.84x = 275,582,084,635.59
  5. Step 5: Solve for x
    x = 275,582,084,635.59/584,984.84
  6. Step 6: Final answer
    x = 471,092.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.