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Finding the Fourth Proportional to 319,066.64, 440,314.92 and 175,831.82

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Solution

The fourth proportional to 319,066.64, 440,314.92 and 175,831.82 is: 242,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,066.64 : 440,314.92 = 175,831.82 : x
  2. Step 2: Convert to fraction form
    319,066.64/440,314.92 = 175,831.82/x
  3. Step 3: Cross multiply
    319,066.64x = 440,314.92 × 175,831.82
  4. Step 4: Simplify right side
    319,066.64x = 77,421,373,756.75
  5. Step 5: Solve for x
    x = 77,421,373,756.75/319,066.64
  6. Step 6: Final answer
    x = 242,649.54

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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.