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Finding the Fourth Proportional to 470,821.48, 706,125.72 and 133,854.65

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Solution

The fourth proportional to 470,821.48, 706,125.72 and 133,854.65 is: 200,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,821.48 : 706,125.72 = 133,854.65 : x
  2. Step 2: Convert to fraction form
    470,821.48/706,125.72 = 133,854.65/x
  3. Step 3: Cross multiply
    470,821.48x = 706,125.72 × 133,854.65
  4. Step 4: Simplify right side
    470,821.48x = 94,518,211,106.60
  5. Step 5: Solve for x
    x = 94,518,211,106.60/470,821.48
  6. Step 6: Final answer
    x = 200,751.70

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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.