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Finding the Fourth Proportional to 476,098.40, 714,147.60 and 413,890.40

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Solution

The fourth proportional to 476,098.40, 714,147.60 and 413,890.40 is: 620,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,098.40 : 714,147.60 = 413,890.40 : x
  2. Step 2: Convert to fraction form
    476,098.40/714,147.60 = 413,890.40/x
  3. Step 3: Cross multiply
    476,098.40x = 714,147.60 × 413,890.40
  4. Step 4: Simplify right side
    476,098.40x = 295,578,835,823.04
  5. Step 5: Solve for x
    x = 295,578,835,823.04/476,098.40
  6. Step 6: Final answer
    x = 620,835.60

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1.5x scale

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.