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Finding the Fourth Proportional to 706,468.80, 1,059,703.20 and 407,870.40

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Solution

The fourth proportional to 706,468.80, 1,059,703.20 and 407,870.40 is: 611,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,468.80 : 1,059,703.20 = 407,870.40 : x
  2. Step 2: Convert to fraction form
    706,468.80/1,059,703.20 = 407,870.40/x
  3. Step 3: Cross multiply
    706,468.80x = 1,059,703.20 × 407,870.40
  4. Step 4: Simplify right side
    706,468.80x = 432,221,568,065.28
  5. Step 5: Solve for x
    x = 432,221,568,065.28/706,468.80
  6. Step 6: Final answer
    x = 611,805.60

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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.