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Finding the Fourth Proportional to 471,155.04, 706,732.56 and 190,869.12

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Solution

The fourth proportional to 471,155.04, 706,732.56 and 190,869.12 is: 286,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,155.04 : 706,732.56 = 190,869.12 : x
  2. Step 2: Convert to fraction form
    471,155.04/706,732.56 = 190,869.12/x
  3. Step 3: Cross multiply
    471,155.04x = 706,732.56 × 190,869.12
  4. Step 4: Simplify right side
    471,155.04x = 134,893,421,802.55
  5. Step 5: Solve for x
    x = 134,893,421,802.55/471,155.04
  6. Step 6: Final answer
    x = 286,303.68

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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.