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Finding the Fourth Proportional to 401,010.46, 601,610 and 116,707.14

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Solution

The fourth proportional to 401,010.46, 601,610 and 116,707.14 is: 175,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,010.46 : 601,610 = 116,707.14 : x
  2. Step 2: Convert to fraction form
    401,010.46/601,610 = 116,707.14/x
  3. Step 3: Cross multiply
    401,010.46x = 601,610 × 116,707.14
  4. Step 4: Simplify right side
    401,010.46x = 70,212,182,495.40
  5. Step 5: Solve for x
    x = 70,212,182,495.40/401,010.46
  6. Step 6: Final answer
    x = 175,088.16

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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.