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Finding the Fourth Proportional to 506,881.68, 698,349.57 and 416,093.91

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Solution

The fourth proportional to 506,881.68, 698,349.57 and 416,093.91 is: 573,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,881.68 : 698,349.57 = 416,093.91 : x
  2. Step 2: Convert to fraction form
    506,881.68/698,349.57 = 416,093.91/x
  3. Step 3: Cross multiply
    506,881.68x = 698,349.57 × 416,093.91
  4. Step 4: Simplify right side
    506,881.68x = 290,579,003,128.12
  5. Step 5: Solve for x
    x = 290,579,003,128.12/506,881.68
  6. Step 6: Final answer
    x = 573,267.91

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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.