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Finding the Fourth Proportional to 565,244.51, 780,072.32 and 323,521.93

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Solution

The fourth proportional to 565,244.51, 780,072.32 and 323,521.93 is: 446,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,244.51 : 780,072.32 = 323,521.93 : x
  2. Step 2: Convert to fraction form
    565,244.51/780,072.32 = 323,521.93/x
  3. Step 3: Cross multiply
    565,244.51x = 780,072.32 × 323,521.93
  4. Step 4: Simplify right side
    565,244.51x = 252,370,502,505.98
  5. Step 5: Solve for x
    x = 252,370,502,505.98/565,244.51
  6. Step 6: Final answer
    x = 446,480.24

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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.