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Finding the Fourth Proportional to 562,580.48, 776,355.04 and 320,856.80

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Solution

The fourth proportional to 562,580.48, 776,355.04 and 320,856.80 is: 442,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,580.48 : 776,355.04 = 320,856.80 : x
  2. Step 2: Convert to fraction form
    562,580.48/776,355.04 = 320,856.80/x
  3. Step 3: Cross multiply
    562,580.48x = 776,355.04 × 320,856.80
  4. Step 4: Simplify right side
    562,580.48x = 249,098,793,798.27
  5. Step 5: Solve for x
    x = 249,098,793,798.27/562,580.48
  6. Step 6: Final answer
    x = 442,778.95

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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.