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Finding the Fourth Proportional to 319,028.19, 440,243.01 and 175,765.11

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Solution

The fourth proportional to 319,028.19, 440,243.01 and 175,765.11 is: 242,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,028.19 : 440,243.01 = 175,765.11 : x
  2. Step 2: Convert to fraction form
    319,028.19/440,243.01 = 175,765.11/x
  3. Step 3: Cross multiply
    319,028.19x = 440,243.01 × 175,765.11
  4. Step 4: Simplify right side
    319,028.19x = 77,379,361,079.38
  5. Step 5: Solve for x
    x = 77,379,361,079.38/319,028.19
  6. Step 6: Final answer
    x = 242,547.10

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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.