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Finding the Fourth Proportional to 582,783.17, 804,298.34 and 341,051.32

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Solution

The fourth proportional to 582,783.17, 804,298.34 and 341,051.32 is: 470,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,783.17 : 804,298.34 = 341,051.32 : x
  2. Step 2: Convert to fraction form
    582,783.17/804,298.34 = 341,051.32/x
  3. Step 3: Cross multiply
    582,783.17x = 804,298.34 × 341,051.32
  4. Step 4: Simplify right side
    582,783.17x = 274,307,010,530.81
  5. Step 5: Solve for x
    x = 274,307,010,530.81/582,783.17
  6. Step 6: Final answer
    x = 470,684.51

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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.