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Finding the Fourth Proportional to 583,495.22, 805,302.34 and 341,874.24

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Solution

The fourth proportional to 583,495.22, 805,302.34 and 341,874.24 is: 471,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,495.22 : 805,302.34 = 341,874.24 : x
  2. Step 2: Convert to fraction form
    583,495.22/805,302.34 = 341,874.24/x
  3. Step 3: Cross multiply
    583,495.22x = 805,302.34 × 341,874.24
  4. Step 4: Simplify right side
    583,495.22x = 275,312,125,457.72
  5. Step 5: Solve for x
    x = 275,312,125,457.72/583,495.22
  6. Step 6: Final answer
    x = 471,832.70

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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.