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Finding the Fourth Proportional to 343,070.36, 514,397.16 and 153,495.43

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Solution

The fourth proportional to 343,070.36, 514,397.16 and 153,495.43 is: 230,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,070.36 : 514,397.16 = 153,495.43 : x
  2. Step 2: Convert to fraction form
    343,070.36/514,397.16 = 153,495.43/x
  3. Step 3: Cross multiply
    343,070.36x = 514,397.16 × 153,495.43
  4. Step 4: Simplify right side
    343,070.36x = 78,957,613,264.98
  5. Step 5: Solve for x
    x = 78,957,613,264.98/343,070.36
  6. Step 6: Final answer
    x = 230,149.91

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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.