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Finding the Fourth Proportional to 470,715.71, 705,675.65 and 204,275.93

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Solution

The fourth proportional to 470,715.71, 705,675.65 and 204,275.93 is: 306,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,715.71 : 705,675.65 = 204,275.93 : x
  2. Step 2: Convert to fraction form
    470,715.71/705,675.65 = 204,275.93/x
  3. Step 3: Cross multiply
    470,715.71x = 705,675.65 × 204,275.93
  4. Step 4: Simplify right side
    470,715.71x = 144,152,545,132.35
  5. Step 5: Solve for x
    x = 144,152,545,132.35/470,715.71
  6. Step 6: Final answer
    x = 306,241.21

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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.