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Finding the Fourth Proportional to 314,174.92, 433,822.98 and 291,381.16

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Solution

The fourth proportional to 314,174.92, 433,822.98 and 291,381.16 is: 402,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,174.92 : 433,822.98 = 291,381.16 : x
  2. Step 2: Convert to fraction form
    314,174.92/433,822.98 = 291,381.16/x
  3. Step 3: Cross multiply
    314,174.92x = 433,822.98 × 291,381.16
  4. Step 4: Simplify right side
    314,174.92x = 126,407,843,147.06
  5. Step 5: Solve for x
    x = 126,407,843,147.06/314,174.92
  6. Step 6: Final answer
    x = 402,348.61

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1.5x scale

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.