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Finding the Fourth Proportional to 583,776, 875,779.20 and 184,475.52

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Solution

The fourth proportional to 583,776, 875,779.20 and 184,475.52 is: 276,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,776 : 875,779.20 = 184,475.52 : x
  2. Step 2: Convert to fraction form
    583,776/875,779.20 = 184,475.52/x
  3. Step 3: Cross multiply
    583,776x = 875,779.20 × 184,475.52
  4. Step 4: Simplify right side
    583,776x = 161,559,823,325.18
  5. Step 5: Solve for x
    x = 161,559,823,325.18/583,776
  6. Step 6: Final answer
    x = 276,749.68

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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.