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Finding the Fourth Proportional to 406,674.45, 609,895.04 and 157,298.13

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Solution

The fourth proportional to 406,674.45, 609,895.04 and 157,298.13 is: 235,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,674.45 : 609,895.04 = 157,298.13 : x
  2. Step 2: Convert to fraction form
    406,674.45/609,895.04 = 157,298.13/x
  3. Step 3: Cross multiply
    406,674.45x = 609,895.04 × 157,298.13
  4. Step 4: Simplify right side
    406,674.45x = 95,935,348,501.78
  5. Step 5: Solve for x
    x = 95,935,348,501.78/406,674.45
  6. Step 6: Final answer
    x = 235,902.08

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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.