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Finding the Fourth Proportional to 492,771.92, 740,403.42 and 472,842.86

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Solution

The fourth proportional to 492,771.92, 740,403.42 and 472,842.86 is: 710,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,771.92 : 740,403.42 = 472,842.86 : x
  2. Step 2: Convert to fraction form
    492,771.92/740,403.42 = 472,842.86/x
  3. Step 3: Cross multiply
    492,771.92x = 740,403.42 × 472,842.86
  4. Step 4: Simplify right side
    492,771.92x = 350,094,470,666.58
  5. Step 5: Solve for x
    x = 350,094,470,666.58/492,771.92
  6. Step 6: Final answer
    x = 710,459.46

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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.