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Finding the Fourth Proportional to 343,000.42, 514,558.48 and 118,300.74

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Solution

The fourth proportional to 343,000.42, 514,558.48 and 118,300.74 is: 177,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,000.42 : 514,558.48 = 118,300.74 : x
  2. Step 2: Convert to fraction form
    343,000.42/514,558.48 = 118,300.74/x
  3. Step 3: Cross multiply
    343,000.42x = 514,558.48 × 118,300.74
  4. Step 4: Simplify right side
    343,000.42x = 60,872,648,957.28
  5. Step 5: Solve for x
    x = 60,872,648,957.28/343,000.42
  6. Step 6: Final answer
    x = 177,471.06

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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.