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Finding the Fourth Proportional to 314,117.70, 433,744.22 and 291,323.89

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Solution

The fourth proportional to 314,117.70, 433,744.22 and 291,323.89 is: 402,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,117.70 : 433,744.22 = 291,323.89 : x
  2. Step 2: Convert to fraction form
    314,117.70/433,744.22 = 291,323.89/x
  3. Step 3: Cross multiply
    314,117.70x = 433,744.22 × 291,323.89
  4. Step 4: Simplify right side
    314,117.70x = 126,360,053,067.21
  5. Step 5: Solve for x
    x = 126,360,053,067.21/314,117.70
  6. Step 6: Final answer
    x = 402,269.77

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