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Finding the Fourth Proportional to 470,308.69, 649,030.76 and 255,452.95

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Solution

The fourth proportional to 470,308.69, 649,030.76 and 255,452.95 is: 352,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,308.69 : 649,030.76 = 255,452.95 : x
  2. Step 2: Convert to fraction form
    470,308.69/649,030.76 = 255,452.95/x
  3. Step 3: Cross multiply
    470,308.69x = 649,030.76 × 255,452.95
  4. Step 4: Simplify right side
    470,308.69x = 165,796,822,282.74
  5. Step 5: Solve for x
    x = 165,796,822,282.74/470,308.69
  6. Step 6: Final answer
    x = 352,527.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.