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Finding the Fourth Proportional to 506,097.72, 698,484.30 and 291,233.40

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Solution

The fourth proportional to 506,097.72, 698,484.30 and 291,233.40 is: 401,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,097.72 : 698,484.30 = 291,233.40 : x
  2. Step 2: Convert to fraction form
    506,097.72/698,484.30 = 291,233.40/x
  3. Step 3: Cross multiply
    506,097.72x = 698,484.30 × 291,233.40
  4. Step 4: Simplify right side
    506,097.72x = 203,421,957,535.62
  5. Step 5: Solve for x
    x = 203,421,957,535.62/506,097.72
  6. Step 6: Final answer
    x = 401,942.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.