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Finding the Fourth Proportional to 497,298.60, 746,598.33 and 295,263.54

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Solution

The fourth proportional to 497,298.60, 746,598.33 and 295,263.54 is: 443,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,298.60 : 746,598.33 = 295,263.54 : x
  2. Step 2: Convert to fraction form
    497,298.60/746,598.33 = 295,263.54/x
  3. Step 3: Cross multiply
    497,298.60x = 746,598.33 × 295,263.54
  4. Step 4: Simplify right side
    497,298.60x = 220,443,265,873.89
  5. Step 5: Solve for x
    x = 220,443,265,873.89/497,298.60
  6. Step 6: Final answer
    x = 443,281.49

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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.