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Finding the Fourth Proportional to 470,076.07, 705,394.28 and 170,580.01

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Solution

The fourth proportional to 470,076.07, 705,394.28 and 170,580.01 is: 255,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,076.07 : 705,394.28 = 170,580.01 : x
  2. Step 2: Convert to fraction form
    470,076.07/705,394.28 = 170,580.01/x
  3. Step 3: Cross multiply
    470,076.07x = 705,394.28 × 170,580.01
  4. Step 4: Simplify right side
    470,076.07x = 120,326,163,336.34
  5. Step 5: Solve for x
    x = 120,326,163,336.34/470,076.07
  6. Step 6: Final answer
    x = 255,971.68

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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.