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Finding the Fourth Proportional to 314,598.30, 471,897.45 and 252,390.30

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Solution

The fourth proportional to 314,598.30, 471,897.45 and 252,390.30 is: 378,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,598.30 : 471,897.45 = 252,390.30 : x
  2. Step 2: Convert to fraction form
    314,598.30/471,897.45 = 252,390.30/x
  3. Step 3: Cross multiply
    314,598.30x = 471,897.45 × 252,390.30
  4. Step 4: Simplify right side
    314,598.30x = 119,102,338,974.74
  5. Step 5: Solve for x
    x = 119,102,338,974.74/314,598.30
  6. Step 6: Final answer
    x = 378,585.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.