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Finding the Fourth Proportional to 602,212.56, 828,967.44 and 520,503.60

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Solution

The fourth proportional to 602,212.56, 828,967.44 and 520,503.60 is: 716,492.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,212.56 : 828,967.44 = 520,503.60 : x
  2. Step 2: Convert to fraction form
    602,212.56/828,967.44 = 520,503.60/x
  3. Step 3: Cross multiply
    602,212.56x = 828,967.44 × 520,503.60
  4. Step 4: Simplify right side
    602,212.56x = 431,480,536,802.78
  5. Step 5: Solve for x
    x = 431,480,536,802.78/602,212.56
  6. Step 6: Final answer
    x = 716,492.09

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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.