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Finding the Fourth Proportional to 470,484.60, 705,753.95 and 133,498.89

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Solution

The fourth proportional to 470,484.60, 705,753.95 and 133,498.89 is: 200,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,484.60 : 705,753.95 = 133,498.89 : x
  2. Step 2: Convert to fraction form
    470,484.60/705,753.95 = 133,498.89/x
  3. Step 3: Cross multiply
    470,484.60x = 705,753.95 × 133,498.89
  4. Step 4: Simplify right side
    470,484.60x = 94,217,368,270.62
  5. Step 5: Solve for x
    x = 94,217,368,270.62/470,484.60
  6. Step 6: Final answer
    x = 200,256.01

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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.