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Finding the Fourth Proportional to 470,897.55, 706,346.33 and 329,179.95

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Solution

The fourth proportional to 470,897.55, 706,346.33 and 329,179.95 is: 493,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.55 : 706,346.33 = 329,179.95 : x
  2. Step 2: Convert to fraction form
    470,897.55/706,346.33 = 329,179.95/x
  3. Step 3: Cross multiply
    470,897.55x = 706,346.33 × 329,179.95
  4. Step 4: Simplify right side
    470,897.55x = 232,515,047,946.18
  5. Step 5: Solve for x
    x = 232,515,047,946.18/470,897.55
  6. Step 6: Final answer
    x = 493,769.93

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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.