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Finding the Fourth Proportional to 700,084.22, 966,128.51 and 413,603.62

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Solution

The fourth proportional to 700,084.22, 966,128.51 and 413,603.62 is: 570,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,084.22 : 966,128.51 = 413,603.62 : x
  2. Step 2: Convert to fraction form
    700,084.22/966,128.51 = 413,603.62/x
  3. Step 3: Cross multiply
    700,084.22x = 966,128.51 × 413,603.62
  4. Step 4: Simplify right side
    700,084.22x = 399,594,247,739.89
  5. Step 5: Solve for x
    x = 399,594,247,739.89/700,084.22
  6. Step 6: Final answer
    x = 570,780.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.