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Finding the Fourth Proportional to 491,102.40, 736,653.60 and 470,107.20

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Solution

The fourth proportional to 491,102.40, 736,653.60 and 470,107.20 is: 705,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,102.40 : 736,653.60 = 470,107.20 : x
  2. Step 2: Convert to fraction form
    491,102.40/736,653.60 = 470,107.20/x
  3. Step 3: Cross multiply
    491,102.40x = 736,653.60 × 470,107.20
  4. Step 4: Simplify right side
    491,102.40x = 346,306,161,265.92
  5. Step 5: Solve for x
    x = 346,306,161,265.92/491,102.40
  6. Step 6: Final answer
    x = 705,160.80

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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.