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Finding the Fourth Proportional to 585,210.68, 877,992.95 and 414,762.03

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Solution

The fourth proportional to 585,210.68, 877,992.95 and 414,762.03 is: 622,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,210.68 : 877,992.95 = 414,762.03 : x
  2. Step 2: Convert to fraction form
    585,210.68/877,992.95 = 414,762.03/x
  3. Step 3: Cross multiply
    585,210.68x = 877,992.95 × 414,762.03
  4. Step 4: Simplify right side
    585,210.68x = 364,158,136,193.88
  5. Step 5: Solve for x
    x = 364,158,136,193.88/585,210.68
  6. Step 6: Final answer
    x = 622,268.44

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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.