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Finding the Fourth Proportional to 564,516.81, 778,678.85 and 334,911.56

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Solution

The fourth proportional to 564,516.81, 778,678.85 and 334,911.56 is: 461,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,516.81 : 778,678.85 = 334,911.56 : x
  2. Step 2: Convert to fraction form
    564,516.81/778,678.85 = 334,911.56/x
  3. Step 3: Cross multiply
    564,516.81x = 778,678.85 × 334,911.56
  4. Step 4: Simplify right side
    564,516.81x = 260,788,545,336.39
  5. Step 5: Solve for x
    x = 260,788,545,336.39/564,516.81
  6. Step 6: Final answer
    x = 461,967.72

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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.