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Finding the Fourth Proportional to 470,615.12, 706,010.16 and 155,094.24

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Solution

The fourth proportional to 470,615.12, 706,010.16 and 155,094.24 is: 232,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,615.12 : 706,010.16 = 155,094.24 : x
  2. Step 2: Convert to fraction form
    470,615.12/706,010.16 = 155,094.24/x
  3. Step 3: Cross multiply
    470,615.12x = 706,010.16 × 155,094.24
  4. Step 4: Simplify right side
    470,615.12x = 109,498,109,197.48
  5. Step 5: Solve for x
    x = 109,498,109,197.48/470,615.12
  6. Step 6: Final answer
    x = 232,670.19

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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.