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Finding the Fourth Proportional to 471,255.53, 706,948.95 and 151,417.04

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Solution

The fourth proportional to 471,255.53, 706,948.95 and 151,417.04 is: 227,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,255.53 : 706,948.95 = 151,417.04 : x
  2. Step 2: Convert to fraction form
    471,255.53/706,948.95 = 151,417.04/x
  3. Step 3: Cross multiply
    471,255.53x = 706,948.95 × 151,417.04
  4. Step 4: Simplify right side
    471,255.53x = 107,044,117,440.11
  5. Step 5: Solve for x
    x = 107,044,117,440.11/471,255.53
  6. Step 6: Final answer
    x = 227,146.66

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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.