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Finding the Fourth Proportional to 343,041.08, 514,463.20 and 238,524.35

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Solution

The fourth proportional to 343,041.08, 514,463.20 and 238,524.35 is: 357,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,041.08 : 514,463.20 = 238,524.35 : x
  2. Step 2: Convert to fraction form
    343,041.08/514,463.20 = 238,524.35/x
  3. Step 3: Cross multiply
    343,041.08x = 514,463.20 × 238,524.35
  4. Step 4: Simplify right side
    343,041.08x = 122,711,997,210.29
  5. Step 5: Solve for x
    x = 122,711,997,210.29/343,041.08
  6. Step 6: Final answer
    x = 357,718.09

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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.