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Finding the Fourth Proportional to 438,345.80, 657,000.30 and 227,875.40

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Solution

The fourth proportional to 438,345.80, 657,000.30 and 227,875.40 is: 341,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,345.80 : 657,000.30 = 227,875.40 : x
  2. Step 2: Convert to fraction form
    438,345.80/657,000.30 = 227,875.40/x
  3. Step 3: Cross multiply
    438,345.80x = 657,000.30 × 227,875.40
  4. Step 4: Simplify right side
    438,345.80x = 149,714,206,162.62
  5. Step 5: Solve for x
    x = 149,714,206,162.62/438,345.80
  6. Step 6: Final answer
    x = 341,543.61

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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.