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Finding the Fourth Proportional to 407,657.86, 611,595.23 and 141,417.94

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Solution

The fourth proportional to 407,657.86, 611,595.23 and 141,417.94 is: 212,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,657.86 : 611,595.23 = 141,417.94 : x
  2. Step 2: Convert to fraction form
    407,657.86/611,595.23 = 141,417.94/x
  3. Step 3: Cross multiply
    407,657.86x = 611,595.23 × 141,417.94
  4. Step 4: Simplify right side
    407,657.86x = 86,490,537,540.43
  5. Step 5: Solve for x
    x = 86,490,537,540.43/407,657.86
  6. Step 6: Final answer
    x = 212,164.53

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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.