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Finding the Fourth Proportional to 470,905.13, 706,801.64 and 171,674.93

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Solution

The fourth proportional to 470,905.13, 706,801.64 and 171,674.93 is: 257,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,905.13 : 706,801.64 = 171,674.93 : x
  2. Step 2: Convert to fraction form
    470,905.13/706,801.64 = 171,674.93/x
  3. Step 3: Cross multiply
    470,905.13x = 706,801.64 × 171,674.93
  4. Step 4: Simplify right side
    470,905.13x = 121,340,122,070.89
  5. Step 5: Solve for x
    x = 121,340,122,070.89/470,905.13
  6. Step 6: Final answer
    x = 257,674.24

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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.