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Finding the Fourth Proportional to 343,294.17, 514,814.85 and 118,596.93

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Solution

The fourth proportional to 343,294.17, 514,814.85 and 118,596.93 is: 177,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,294.17 : 514,814.85 = 118,596.93 : x
  2. Step 2: Convert to fraction form
    343,294.17/514,814.85 = 118,596.93/x
  3. Step 3: Cross multiply
    343,294.17x = 514,814.85 × 118,596.93
  4. Step 4: Simplify right side
    343,294.17x = 61,055,460,728.41
  5. Step 5: Solve for x
    x = 61,055,460,728.41/343,294.17
  6. Step 6: Final answer
    x = 177,851.73

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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.