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Finding the Fourth Proportional to 537,771.60, 806,657.40 and 497,221.20

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Solution

The fourth proportional to 537,771.60, 806,657.40 and 497,221.20 is: 745,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,771.60 : 806,657.40 = 497,221.20 : x
  2. Step 2: Convert to fraction form
    537,771.60/806,657.40 = 497,221.20/x
  3. Step 3: Cross multiply
    537,771.60x = 806,657.40 × 497,221.20
  4. Step 4: Simplify right side
    537,771.60x = 401,087,160,416.88
  5. Step 5: Solve for x
    x = 401,087,160,416.88/537,771.60
  6. Step 6: Final answer
    x = 745,831.80

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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.