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Finding the Fourth Proportional to 529,483.86, 730,794 and 314,582.55

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Solution

The fourth proportional to 529,483.86, 730,794 and 314,582.55 is: 434,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,483.86 : 730,794 = 314,582.55 : x
  2. Step 2: Convert to fraction form
    529,483.86/730,794 = 314,582.55/x
  3. Step 3: Cross multiply
    529,483.86x = 730,794 × 314,582.55
  4. Step 4: Simplify right side
    529,483.86x = 229,895,041,871.69
  5. Step 5: Solve for x
    x = 229,895,041,871.69/529,483.86
  6. Step 6: Final answer
    x = 434,187.07

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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.