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Finding the Fourth Proportional to 470,501.68, 705,355.76 and 204,061.52

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Solution

The fourth proportional to 470,501.68, 705,355.76 and 204,061.52 is: 305,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,501.68 : 705,355.76 = 204,061.52 : x
  2. Step 2: Convert to fraction form
    470,501.68/705,355.76 = 204,061.52/x
  3. Step 3: Cross multiply
    470,501.68x = 705,355.76 × 204,061.52
  4. Step 4: Simplify right side
    470,501.68x = 143,935,968,526.36
  5. Step 5: Solve for x
    x = 143,935,968,526.36/470,501.68
  6. Step 6: Final answer
    x = 305,920.20

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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.