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Finding the Fourth Proportional to 493,023.40, 738,222.90 and 314,564.20

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Solution

The fourth proportional to 493,023.40, 738,222.90 and 314,564.20 is: 471,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,023.40 : 738,222.90 = 314,564.20 : x
  2. Step 2: Convert to fraction form
    493,023.40/738,222.90 = 314,564.20/x
  3. Step 3: Cross multiply
    493,023.40x = 738,222.90 × 314,564.20
  4. Step 4: Simplify right side
    493,023.40x = 232,218,495,960.18
  5. Step 5: Solve for x
    x = 232,218,495,960.18/493,023.40
  6. Step 6: Final answer
    x = 471,009.08

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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.