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Finding the Fourth Proportional to 586,041.21, 877,924.38 and 431,887.23

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Solution

The fourth proportional to 586,041.21, 877,924.38 and 431,887.23 is: 646,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,041.21 : 877,924.38 = 431,887.23 : x
  2. Step 2: Convert to fraction form
    586,041.21/877,924.38 = 431,887.23/x
  3. Step 3: Cross multiply
    586,041.21x = 877,924.38 × 431,887.23
  4. Step 4: Simplify right side
    586,041.21x = 379,164,328,627.67
  5. Step 5: Solve for x
    x = 379,164,328,627.67/586,041.21
  6. Step 6: Final answer
    x = 646,992.60

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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.