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Finding the Fourth Proportional to 470,892.45, 706,338.69 and 452,521.65

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Solution

The fourth proportional to 470,892.45, 706,338.69 and 452,521.65 is: 678,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.45 : 706,338.69 = 452,521.65 : x
  2. Step 2: Convert to fraction form
    470,892.45/706,338.69 = 452,521.65/x
  3. Step 3: Cross multiply
    470,892.45x = 706,338.69 × 452,521.65
  4. Step 4: Simplify right side
    470,892.45x = 319,633,549,457.64
  5. Step 5: Solve for x
    x = 319,633,549,457.64/470,892.45
  6. Step 6: Final answer
    x = 678,782.49

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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.