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Finding the Fourth Proportional to 583,762.65, 875,896.84 and 313,575.52

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Solution

The fourth proportional to 583,762.65, 875,896.84 and 313,575.52 is: 470,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,762.65 : 875,896.84 = 313,575.52 : x
  2. Step 2: Convert to fraction form
    583,762.65/875,896.84 = 313,575.52/x
  3. Step 3: Cross multiply
    583,762.65x = 875,896.84 × 313,575.52
  4. Step 4: Simplify right side
    583,762.65x = 274,659,804,095.68
  5. Step 5: Solve for x
    x = 274,659,804,095.68/583,762.65
  6. Step 6: Final answer
    x = 470,499.11

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Why These Related Problems?

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