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Finding the Fourth Proportional to 521,705.64, 719,950.02 and 295,349.16

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Solution

The fourth proportional to 521,705.64, 719,950.02 and 295,349.16 is: 407,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,705.64 : 719,950.02 = 295,349.16 : x
  2. Step 2: Convert to fraction form
    521,705.64/719,950.02 = 295,349.16/x
  3. Step 3: Cross multiply
    521,705.64x = 719,950.02 × 295,349.16
  4. Step 4: Simplify right side
    521,705.64x = 212,636,633,648.98
  5. Step 5: Solve for x
    x = 212,636,633,648.98/521,705.64
  6. Step 6: Final answer
    x = 407,579.71

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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.