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Finding the Fourth Proportional to 567,477.54, 849,714.57 and 342,537.30

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Solution

The fourth proportional to 567,477.54, 849,714.57 and 342,537.30 is: 512,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,477.54 : 849,714.57 = 342,537.30 : x
  2. Step 2: Convert to fraction form
    567,477.54/849,714.57 = 342,537.30/x
  3. Step 3: Cross multiply
    567,477.54x = 849,714.57 × 342,537.30
  4. Step 4: Simplify right side
    567,477.54x = 291,058,934,578.46
  5. Step 5: Solve for x
    x = 291,058,934,578.46/567,477.54
  6. Step 6: Final answer
    x = 512,899.48

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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.