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Finding the Fourth Proportional to 470,892.60, 706,338.90 and 249,708.60

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Solution

The fourth proportional to 470,892.60, 706,338.90 and 249,708.60 is: 374,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.60 : 706,338.90 = 249,708.60 : x
  2. Step 2: Convert to fraction form
    470,892.60/706,338.90 = 249,708.60/x
  3. Step 3: Cross multiply
    470,892.60x = 706,338.90 × 249,708.60
  4. Step 4: Simplify right side
    470,892.60x = 176,378,897,844.54
  5. Step 5: Solve for x
    x = 176,378,897,844.54/470,892.60
  6. Step 6: Final answer
    x = 374,562.90

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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.