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Finding the Fourth Proportional to 401,546.34, 602,210.57 and 173,920.14

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Solution

The fourth proportional to 401,546.34, 602,210.57 and 173,920.14 is: 260,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,546.34 : 602,210.57 = 173,920.14 : x
  2. Step 2: Convert to fraction form
    401,546.34/602,210.57 = 173,920.14/x
  3. Step 3: Cross multiply
    401,546.34x = 602,210.57 × 173,920.14
  4. Step 4: Simplify right side
    401,546.34x = 104,736,545,774.28
  5. Step 5: Solve for x
    x = 104,736,545,774.28/401,546.34
  6. Step 6: Final answer
    x = 260,833.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.