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Finding the Fourth Proportional to 470,503.71, 705,752.42 and 133,544.55

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Solution

The fourth proportional to 470,503.71, 705,752.42 and 133,544.55 is: 200,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,503.71 : 705,752.42 = 133,544.55 : x
  2. Step 2: Convert to fraction form
    470,503.71/705,752.42 = 133,544.55/x
  3. Step 3: Cross multiply
    470,503.71x = 705,752.42 × 133,544.55
  4. Step 4: Simplify right side
    470,503.71x = 94,249,388,672.59
  5. Step 5: Solve for x
    x = 94,249,388,672.59/470,503.71
  6. Step 6: Final answer
    x = 200,315.93

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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.