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Finding the Fourth Proportional to 470,929.60, 706,686.72 and 190,449.28

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Solution

The fourth proportional to 470,929.60, 706,686.72 and 190,449.28 is: 285,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,929.60 : 706,686.72 = 190,449.28 : x
  2. Step 2: Convert to fraction form
    470,929.60/706,686.72 = 190,449.28/x
  3. Step 3: Cross multiply
    470,929.60x = 706,686.72 × 190,449.28
  4. Step 4: Simplify right side
    470,929.60x = 134,587,977,009.56
  5. Step 5: Solve for x
    x = 134,587,977,009.56/470,929.60
  6. Step 6: Final answer
    x = 285,792.14

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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.