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Finding the Fourth Proportional to 319,066.50, 440,314.66 and 175,831.68

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Solution

The fourth proportional to 319,066.50, 440,314.66 and 175,831.68 is: 242,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,066.50 : 440,314.66 = 175,831.68 : x
  2. Step 2: Convert to fraction form
    319,066.50/440,314.66 = 175,831.68/x
  3. Step 3: Cross multiply
    319,066.50x = 440,314.66 × 175,831.68
  4. Step 4: Simplify right side
    319,066.50x = 77,421,266,396.43
  5. Step 5: Solve for x
    x = 77,421,266,396.43/319,066.50
  6. Step 6: Final answer
    x = 242,649.31

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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.