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Finding the Fourth Proportional to 470,053.08, 704,945.70 and 133,071.64

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Solution

The fourth proportional to 470,053.08, 704,945.70 and 133,071.64 is: 199,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,053.08 : 704,945.70 = 133,071.64 : x
  2. Step 2: Convert to fraction form
    470,053.08/704,945.70 = 133,071.64/x
  3. Step 3: Cross multiply
    470,053.08x = 704,945.70 × 133,071.64
  4. Step 4: Simplify right side
    470,053.08x = 93,808,280,409.95
  5. Step 5: Solve for x
    x = 93,808,280,409.95/470,053.08
  6. Step 6: Final answer
    x = 199,569.55

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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.