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Finding the Fourth Proportional to 549,970.20, 758,946.24 and 320,512.86

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Solution

The fourth proportional to 549,970.20, 758,946.24 and 320,512.86 is: 442,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,970.20 : 758,946.24 = 320,512.86 : x
  2. Step 2: Convert to fraction form
    549,970.20/758,946.24 = 320,512.86/x
  3. Step 3: Cross multiply
    549,970.20x = 758,946.24 × 320,512.86
  4. Step 4: Simplify right side
    549,970.20x = 243,252,029,968.65
  5. Step 5: Solve for x
    x = 243,252,029,968.65/549,970.20
  6. Step 6: Final answer
    x = 442,300.38

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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.